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4872998304 = 253219785889
BaseRepresentation
bin1001000100111010…
…00000110110100000
3110120121101221222200
410202131000312200
534434441421204
62123313133200
7231520542066
oct44235006640
913517357880
104872998304
112080753829
12b3bb5a200
135c8752a65
14343282036
151d7c1b539
hex122740da0

4872998304 has 72 divisors (see below), whose sum is σ = 13928094180. Its totient is φ = 1616068608.

The previous prime is 4872998281. The next prime is 4872998329. The reversal of 4872998304 is 4038992784.

4872998304 is a `hidden beast` number, since 48 + 7 + 299 + 8 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3187731600 + 1685266704 = 56460^2 + 41052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×48729983042 = 47492224941573752832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13792 + ... + 99680.

Almost surely, 24872998304 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 4872998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964047090).

4872998304 is an abundant number, since it is smaller than the sum of its proper divisors (9055095876).

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

4872998304 is a wasteful number, since it uses less digits than its factorization.

4872998304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86102 (or 86091 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4872998304 is about 69806.8643043075. The cubic root of 4872998304 is about 1695.3736153985.

The spelling of 4872998304 in words is "four billion, eight hundred seventy-two million, nine hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 14184 18912 28368 56736 85889 171778 257667 343556 515334 687112 773001 1030668 1374224 1546002 2061336 2748448 3092004 4122672 6184008 8245344 12368016 16920133 24736032 33840266 50760399 67680532 101520798 135361064 152281197 203041596 270722128 304562394 406083192 541444256 609124788 812166384 1218249576 1624332768 2436499152 4872998304