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970016432 = 247116771163
BaseRepresentation
bin111001110100010…
…100011010110000
32111121020221101112
4321310110122300
53441311011212
6240130452452
733016001150
oct7164243260
92447227345
10970016432
11458604780
12230a34128
13125c6c828
1492b84760
155a25c422
hex39d146b0

970016432 has 80 divisors (see below), whose sum is σ = 2348635392. Its totient is φ = 377045760.

The previous prime is 970016401. The next prime is 970016459. The reversal of 970016432 is 234610079.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833483 + ... + 834645.

Almost surely, 2970016432 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 970016432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174317696).

970016432 is an abundant number, since it is smaller than the sum of its proper divisors (1378618960).

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

970016432 is a wasteful number, since it uses less digits than its factorization.

970016432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 970016432 is about 31145.0868035393. The cubic root of 970016432 is about 989.9038889113.

The spelling of 970016432 in words is "nine hundred seventy million, sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 677 1163 1232 1354 2326 2708 4652 4739 5416 7447 8141 9304 9478 10832 12793 14894 16282 18608 18956 25586 29788 32564 37912 51172 52129 59576 65128 75824 89551 102344 104258 119152 130256 179102 204688 208516 358204 417032 716408 787351 834064 1432816 1574702 3149404 5511457 6298808 8660861 11022914 12597616 17321722 22045828 34643444 44091656 60626027 69286888 88183312 121252054 138573776 242504108 485008216 970016432