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4252066640 = 2453137149311
BaseRepresentation
bin1111110101110001…
…0110001101010000
3101222100000100212122
43331130112031100
532202012113030
61541532313412
7210240653513
oct37534261520
911870010778
104252066640
1118921a9668
129a8012868
13529c08983
142c4a0ad7a
1519d4668e5
hexfd716350

4252066640 has 160 divisors (see below), whose sum is σ = 10585036800. Its totient is φ = 1585612800.

The previous prime is 4252066633. The next prime is 4252066667. The reversal of 4252066640 is 466602524.

It is a super-2 number, since 2×42520666402 = 36160141422001779200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4252066640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13672085 + ... + 13672395.

It is an arithmetic number, because the mean of its divisors is an integer number (66156480).

Almost surely, 24252066640 is an apocalyptic number.

4252066640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292518400).

4252066640 is an abundant number, since it is smaller than the sum of its proper divisors (6332970160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4252066640 is a wasteful number, since it uses less digits than its factorization.

4252066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 4252066640 is about 65207.8725308532. The cubic root of 4252066640 is about 1620.0684114787.

The spelling of 4252066640 in words is "four billion, two hundred fifty-two million, sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 149 155 185 248 296 298 310 311 370 496 592 596 620 622 740 745 1147 1192 1240 1244 1480 1490 1555 2294 2384 2480 2488 2960 2980 3110 4588 4619 4976 5513 5735 5960 6220 9176 9238 9641 11026 11470 11507 11920 12440 18352 18476 19282 22052 22940 23014 23095 24880 27565 36952 38564 44104 45880 46028 46190 46339 48205 55130 57535 73904 77128 88208 91760 92056 92380 92678 96410 110260 115070 154256 170903 184112 184760 185356 192820 220520 230140 231695 341806 356717 369520 370712 385640 441040 460280 463390 683612 713434 741424 771280 854515 920560 926780 1367224 1426868 1436509 1709030 1714543 1783585 1853560 2734448 2853736 2873018 3418060 3429086 3567170 3707120 5707472 5746036 6836120 6858172 7134340 7182545 8572715 11492072 13672240 13716344 14268680 14365090 17145430 22984144 27432688 28537360 28730180 34290860 53150833 57460360 68581720 106301666 114920720 137163440 212603332 265754165 425206664 531508330 850413328 1063016660 2126033320 4252066640