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4920253632 = 26347135589
BaseRepresentation
bin1001001010100010…
…10001110011000000
3110200220022210010000
410211101101303000
540034041104012
62132122040000
7232633315530
oct44521216300
913626283100
104920253632
1120a539a418
12b53949000
13605489aa8
143496634c0
151dbe52ddc
hex125451cc0

4920253632 has 140 divisors (see below), whose sum is σ = 16668892240. Its totient is φ = 1405776384.

The previous prime is 4920253631. The next prime is 4920253643. The reversal of 4920253632 is 2363520294.

It is a happy number.

4920253632 is a `hidden beast` number, since 4 + 92 + 0 + 2 + 536 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4920253631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31507 + ... + 104082.

It is an arithmetic number, because the mean of its divisors is an integer number (119063516).

Almost surely, 24920253632 is an apocalyptic number.

4920253632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4920253632 is an abundant number, since it is smaller than the sum of its proper divisors (11748638608).

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

4920253632 is a wasteful number, since it uses less digits than its factorization.

4920253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135620 (or 135601 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4920253632 is about 70144.5196148637. The cubic root of 4920253632 is about 1700.8362243521.

The spelling of 4920253632 in words is "four billion, nine hundred twenty million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 135589 271178 406767 542356 813534 949123 1084712 1220301 1627068 1898246 2169424 2440602 2847369 3254136 3660903 3796492 4338848 4881204 5694738 6508272 7321806 7592984 8542107 8677696 9762408 10982709 11389476 13016544 14643612 15185968 17084214 19524816 21965418 22778952 25626321 26033088 29287224 30371936 34168428 39049632 43930836 45557904 51252642 58574448 60743872 68336856 76878963 78099264 87861672 91115808 102505284 117148896 136673712 153757926 175723344 182231616 205010568 234297792 273347424 307515852 351446688 410021136 546694848 615031704 702893376 820042272 1230063408 1640084544 2460126816 4920253632