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8031087072 = 253243963521
BaseRepresentation
bin1110111101011000…
…01010100111100000
3202201200220111100100
413132230022213200
5112421424241242
63404530022400
7403006054011
oct73654124740
922650814310
108031087072
113451380648
121681717a00
139acb08b38
1456287b008
153200db54c
hex1deb0a9e0

8031087072 has 72 divisors (see below), whose sum is σ = 22890787920. Its totient is φ = 2670888960.

The previous prime is 8031087007. The next prime is 8031087089. The reversal of 8031087072 is 2707801308.

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

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 94672 + ... + 158192.

It is an arithmetic number, because the mean of its divisors is an integer number (317927610).

Almost surely, 28031087072 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 8031087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445393960).

8031087072 is an abundant number, since it is smaller than the sum of its proper divisors (14859700848).

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

8031087072 is a wasteful number, since it uses less digits than its factorization.

8031087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63976 (or 63965 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 8031087072 is about 89616.3326185579. The cubic root of 8031087072 is about 2002.5872409822.

The spelling of 8031087072 in words is "eight billion, thirty-one million, eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 31608 42144 63216 63521 126432 127042 190563 254084 381126 508168 571689 762252 1016336 1143378 1524504 2032672 2286756 3049008 4573512 6098016 9147024 18294048 27885719 55771438 83657157 111542876 167314314 223085752 250971471 334628628 446171504 501942942 669257256 892343008 1003885884 1338514512 2007771768 2677029024 4015543536 8031087072