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96895032 = 233132910709
BaseRepresentation
bin1011100011010…
…00000000111000
320202022202222220
411301220000320
5144301120112
613340444040
72254410543
oct561500070
9222282886
1096895032
114a770743
1228549620
13170c7450
14cc2385a
15878e98c
hex5c68038

96895032 has 64 divisors (see below), whose sum is σ = 269892000. Its totient is φ = 28783104.

The previous prime is 96895009. The next prime is 96895037. The reversal of 96895032 is 23059869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96895037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694 + ... + 14402.

Almost surely, 296895032 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 96895032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946000).

96895032 is an abundant number, since it is smaller than the sum of its proper divisors (172996968).

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

96895032 is a wasteful number, since it uses less digits than its factorization.

96895032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 96895032 is about 9843.5274165311. The cubic root of 96895032 is about 459.3042917501.

It can be divided in two parts, 9 and 6895032, that added together give a triangular number (6895041 = T3713).

The spelling of 96895032 in words is "ninety-six million, eight hundred ninety-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 10709 21418 32127 42836 64254 85672 128508 139217 257016 278434 310561 417651 556868 621122 835302 931683 1113736 1242244 1670604 1863366 2484488 3341208 3726732 4037293 7453464 8074586 12111879 16149172 24223758 32298344 48447516 96895032