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96505976 = 23723312417
BaseRepresentation
bin1011100000010…
…01000001111000
320201121000022102
411300021001320
5144201142401
613324242532
72251200350
oct560110170
9221530272
1096505976
114a525406
12283a0448
1316cbc338
14cb61b60
15871456b
hex5c09078

96505976 has 64 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 38269440.

The previous prime is 96505967. The next prime is 96506023. The reversal of 96505976 is 67950569.

It is a self number, because there is not a number n which added to its sum of digits gives 96505976.

It is a congruent number.

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, 38720 + ... + 41136.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 296505976 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 96505976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

96505976 is an abundant number, since it is smaller than the sum of its proper divisors (126336904).

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

96505976 is a wasteful number, since it uses less digits than its factorization.

96505976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 47.

The square root of 96505976 is about 9823.7455178766. The cubic root of 96505976 is about 458.6887294274.

The spelling of 96505976 in words is "ninety-six million, five hundred five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 124 161 184 217 248 322 434 644 713 868 1288 1426 1736 2417 2852 4834 4991 5704 9668 9982 16919 19336 19964 33838 39928 55591 67676 74927 111182 135352 149854 222364 299708 389137 444728 524489 599416 778274 1048978 1556548 1723321 2097956 3113096 3446642 4195912 6893284 12063247 13786568 24126494 48252988 96505976