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4755409740 = 22325791372441
BaseRepresentation
bin1000110110111000…
…11100101101001100
3110021102010211210200
410123130130231030
534214341102430
62103512533500
7225562213224
oct43334345514
913242124720
104755409740
1120203397a4
12b086b1290
135aa291623
143317d3084
151cc740460
hex11b71cb4c

4755409740 has 144 divisors (see below), whose sum is σ = 14719985280. Its totient is φ = 1242408960.

The previous prime is 4755409733. The next prime is 4755409741. The reversal of 4755409740 is 479045574.

4755409740 is a `hidden beast` number, since 4 + 7 + 554 + 0 + 97 + 4 + 0 = 666.

It is a super-2 number, since 2×47554097402 = 45227843590573735200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4755409741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1946920 + ... + 1949360.

It is an arithmetic number, because the mean of its divisors is an integer number (102222120).

Almost surely, 24755409740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4755409740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359992640).

4755409740 is an abundant number, since it is smaller than the sum of its proper divisors (9964575540).

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

4755409740 is a wasteful number, since it uses less digits than its factorization.

4755409740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4755409740 is about 68959.4789713495. The cubic root of 4755409740 is about 1681.6256161258.

The spelling of 4755409740 in words is "four billion, seven hundred fifty-five million, four hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 137 158 180 237 274 316 395 411 474 548 685 711 790 822 948 1185 1233 1370 1422 1580 1644 2055 2370 2441 2466 2740 2844 3555 4110 4740 4882 4932 6165 7110 7323 8220 9764 10823 12205 12330 14220 14646 21646 21969 24410 24660 29292 32469 36615 43292 43938 48820 54115 64938 73230 87876 97407 108230 109845 129876 146460 162345 192839 194814 216460 219690 324690 334417 385678 389628 439380 487035 578517 649380 668834 771356 964195 974070 1003251 1157034 1337668 1672085 1735551 1928390 1948140 2006502 2314068 2892585 3009753 3344170 3471102 3856780 4013004 5016255 5785170 6019506 6688340 6942204 8677755 10032510 11570340 12039012 15048765 17355510 20065020 26418943 30097530 34711020 52837886 60195060 79256829 105675772 132094715 158513658 237770487 264189430 317027316 396284145 475540974 528378860 792568290 951081948 1188852435 1585136580 2377704870 4755409740