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632710056 = 2331161101389
BaseRepresentation
bin100101101101100…
…110001110101000
31122002120000000210
4211231212032220
52243433210211
6142441101120
721451642506
oct4555461650
91562500023
10632710056
112a516a480
12157a877a0
13a110c264
146005d676
153a82e9a6
hex25b663a8

632710056 has 128 divisors (see below), whose sum is σ = 1775779200. Its totient is φ = 186240000.

The previous prime is 632710021. The next prime is 632710087. The reversal of 632710056 is 650017236.

632710056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626310 + ... + 1626698.

It is an arithmetic number, because the mean of its divisors is an integer number (13873275).

Almost surely, 2632710056 is an apocalyptic number.

632710056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632710056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

632710056 is an abundant number, since it is smaller than the sum of its proper divisors (1143069144).

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

632710056 is a wasteful number, since it uses less digits than its factorization.

632710056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 632710056 is about 25153.7284711432. The cubic root of 632710056 is about 858.4893508791.

The spelling of 632710056 in words is "six hundred thirty-two million, seven hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 101 122 132 183 202 244 264 303 366 389 404 488 606 671 732 778 808 1111 1167 1212 1342 1464 1556 2013 2222 2334 2424 2684 3112 3333 4026 4279 4444 4668 5368 6161 6666 8052 8558 8888 9336 12322 12837 13332 16104 17116 18483 23729 24644 25674 26664 34232 36966 39289 47458 49288 51348 67771 71187 73932 78578 94916 102696 117867 135542 142374 147864 157156 189832 203313 235734 261019 271084 284748 314312 406626 432179 471468 522038 542168 569496 783057 813252 864358 942936 1044076 1296537 1566114 1626504 1728716 2088152 2396629 2593074 3132228 3457432 4793258 5186148 6264456 7189887 9586516 10372296 14379774 19173032 26362919 28759548 52725838 57519096 79088757 105451676 158177514 210903352 316355028 632710056