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95132032 = 273753379
BaseRepresentation
bin1011010101110…
…01100110000000
320122000012121121
411222321212000
5143323211112
613235002024
72233415602
oct552714600
9218005547
1095132032
1149777116
1227a39314
131692ab58
14c8c5172
158542407
hex5ab9980

95132032 has 64 divisors (see below), whose sum is σ = 198838800. Its totient is φ = 45287424.

The previous prime is 95132029. The next prime is 95132033. The reversal of 95132032 is 23023159.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 95131988 and 95132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95132033) 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, 250819 + ... + 251197.

Almost surely, 295132032 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 95132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99419400).

95132032 is an abundant number, since it is smaller than the sum of its proper divisors (103706768).

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

95132032 is a wasteful number, since it uses less digits than its factorization.

95132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 95132032 is about 9753.5650918010. The cubic root of 95132032 is about 456.5015513560.

The spelling of 95132032 in words is "ninety-five million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 296 379 424 592 758 848 1184 1516 1696 1961 2368 3032 3392 3922 4736 6064 6784 7844 12128 14023 15688 20087 24256 28046 31376 40174 48512 56092 62752 80348 112184 125504 160696 224368 251008 321392 448736 642784 743219 897472 1285568 1486438 1794944 2571136 2972876 5945752 11891504 23783008 47566016 95132032