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4949057640 = 2335291977219
BaseRepresentation
bin1001001101111110…
…01010000001101000
3110202220112011210010
410212333022001220
540113424321030
62135031251520
7233433203322
oct44677120150
913686464703
104949057640
11210a68328a
12b61519ba0
1360b433597
1434d400612
151de7426b0
hex126fca068

4949057640 has 128 divisors (see below), whose sum is σ = 15439248000. Its totient is φ = 1267596288.

The previous prime is 4949057639. The next prime is 4949057657. The reversal of 4949057640 is 467509494.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4949057640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681951 + ... + 689169.

It is an arithmetic number, because the mean of its divisors is an integer number (120619125).

Almost surely, 24949057640 is an apocalyptic number.

4949057640 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 4949057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719624000).

4949057640 is an abundant number, since it is smaller than the sum of its proper divisors (10490190360).

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

4949057640 is a wasteful number, since it uses less digits than its factorization.

4949057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4949057640 is about 70349.5390176794. The cubic root of 4949057640 is about 1704.1487642608.

The spelling of 4949057640 in words is "four billion, nine hundred forty-nine million, fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 197 232 290 348 394 435 580 591 696 788 870 985 1160 1182 1576 1740 1970 2364 2955 3480 3940 4728 5713 5910 7219 7880 11426 11820 14438 17139 21657 22852 23640 28565 28876 34278 36095 43314 45704 57130 57752 68556 72190 85695 86628 108285 114260 137112 144380 171390 173256 209351 216570 228520 288760 342780 418702 433140 628053 685560 837404 866280 1046755 1256106 1422143 1674808 2093510 2512212 2844286 3140265 4187020 4266429 5024424 5688572 6280530 7110715 8374040 8532858 11377144 12561060 14221430 17065716 21332145 25122120 28442860 34131432 41242147 42664290 56885720 82484294 85328580 123726441 164968588 170657160 206210735 247452882 329937176 412421470 494905764 618632205 824842940 989811528 1237264410 1649685880 2474528820 4949057640