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4052456352 = 25337670049
BaseRepresentation
bin1111000110001011…
…1001001110100000
3101110102102010001000
43301202321032200
531244412100402
61510042112000
7202265211360
oct36142711640
911412363030
104052456352
11179a56248a
129511ab600
134c7759b89
142a62ca9a0
1518ab87c1c
hexf18b93a0

4052456352 has 96 divisors (see below), whose sum is σ = 13508208000. Its totient is φ = 1157842944.

The previous prime is 4052456347. The next prime is 4052456357. The reversal of 4052456352 is 2536542504.

4052456352 is a `hidden beast` number, since 40 + 5 + 2 + 4 + 563 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (4052456347) and next prime (4052456357).

It is a tau number, because it is divible by the number of its divisors (96).

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 (4052456357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328977 + ... + 341072.

It is an arithmetic number, because the mean of its divisors is an integer number (140710500).

Almost surely, 24052456352 is an apocalyptic number.

4052456352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4052456352 is an abundant number, since it is smaller than the sum of its proper divisors (9455751648).

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

4052456352 is a wasteful number, since it uses less digits than its factorization.

4052456352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670075 (or 670061 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4052456352 is about 63658.9063054024. The cubic root of 4052456352 is about 1594.3100433993.

Adding to 4052456352 its reverse (2536542504), we get a palindrome (6588998856).

The spelling of 4052456352 in words is "four billion, fifty-two million, four hundred fifty-six thousand, three hundred fifty-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 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 670049 1340098 2010147 2680196 4020294 4690343 5360392 6030441 8040588 9380686 10720784 12060882 14071029 16081176 18091323 18761372 21441568 24121764 28142058 32162352 36182646 37522744 42213087 48243528 56284116 64324704 72365292 75045488 84426174 96487056 112568232 126639261 144730584 150090976 168852348 192974112 225136464 253278522 289461168 337704696 450272928 506557044 578922336 675409392 1013114088 1350818784 2026228176 4052456352