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8972060256 = 25343978719
BaseRepresentation
bin10000101101100011…
…01100011001100000
3212011021111212220000
420112301230121200
5121333321412011
64042142220000
7435223153035
oct102661543140
925137455800
108972060256
113894548735
1218a4884600
13acca49cc3
1461182138c
15377a0d356
hex216c6c660

8972060256 has 120 divisors (see below), whose sum is σ = 26456078880. Its totient is φ = 2982811392.

The previous prime is 8972060197. The next prime is 8972060263. The reversal of 8972060256 is 6520602798.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1024665 + ... + 1033383.

It is an arithmetic number, because the mean of its divisors is an integer number (220467324).

Almost surely, 28972060256 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 8972060256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228039440).

8972060256 is an abundant number, since it is smaller than the sum of its proper divisors (17484018624).

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

8972060256 is a wasteful number, since it uses less digits than its factorization.

8972060256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8972060256 is about 94720.9599613517. The cubic root of 8972060256 is about 2077.9291099688.

The spelling of 8972060256 in words is "eight billion, nine hundred seventy-two million, sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 397 432 648 794 864 1191 1296 1588 2382 2592 3176 3573 4764 6352 7146 8719 9528 10719 12704 14292 17438 19056 21438 26157 28584 32157 34876 38112 42876 52314 57168 64314 69752 78471 85752 104628 114336 128628 139504 156942 171504 209256 235413 257256 279008 313884 343008 418512 470826 514512 627768 706239 837024 941652 1029024 1255536 1412478 1883304 2511072 2824956 3461443 3766608 5649912 6922886 7533216 10384329 11299824 13845772 20768658 22599648 27691544 31152987 41537316 55383088 62305974 83074632 93458961 110766176 124611948 166149264 186917922 249223896 280376883 332298528 373835844 498447792 560753766 747671688 996895584 1121507532 1495343376 2243015064 2990686752 4486030128 8972060256