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96338632 = 23131496217
BaseRepresentation
bin1011011111000…
…00001011001000
320201021111202111
411233200023020
5144130314012
613320512104
72246602435
oct557401310
9221244674
1096338632
114a420705
122831b634
1316c61110
14cb1ab8c
1586ceba7
hex5be02c8

96338632 has 32 divisors (see below), whose sum is σ = 195867000. Its totient is φ = 44158464.

The previous prime is 96338629. The next prime is 96338633. The reversal of 96338632 is 23683369.

It can be written as a sum of positive squares in 4 ways, for example, as 57972996 + 38365636 = 7614^2 + 6194^2 .

It is a super-2 number, since 2×963386322 = 18562264031262848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96338633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12388 + ... + 18604.

Almost surely, 296338632 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 96338632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97933500).

96338632 is an abundant number, since it is smaller than the sum of its proper divisors (99528368).

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

96338632 is a wasteful number, since it uses less digits than its factorization.

96338632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6381 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 96338632 is about 9815.2245007437. The cubic root of 96338632 is about 458.4234497698.

The spelling of 96338632 in words is "ninety-six million, three hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 6217 7748 12434 15496 24868 49736 80821 161642 323284 646568 926333 1852666 3705332 7410664 12042329 24084658 48169316 96338632