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82924132 = 22193161577
BaseRepresentation
bin1001111000101…
…01001001100100
312210000222112011
410330111021210
5132212033012
612121204004
72024562214
oct474251144
9183028464
1082924132
1142899145
1223930604
1314245345
14b028244
1574301a7
hex4f15264

82924132 has 48 divisors (see below), whose sum is σ = 160545280. Its totient is φ = 37324800.

The previous prime is 82924129. The next prime is 82924133. The reversal of 82924132 is 23142928.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 82924094 and 82924103.

It is not an unprimeable number, because it can be changed into a prime (82924133) 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, 143428 + ... + 144004.

Almost surely, 282924132 is an apocalyptic number.

It is an amenable number.

82924132 is a deficient number, since it is larger than the sum of its proper divisors (77621148).

82924132 is a wasteful number, since it uses less digits than its factorization.

82924132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 82924132 is about 9106.2688297678. The cubic root of 82924132 is about 436.0741183648.

The spelling of 82924132 in words is "eighty-two million, nine hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 19 31 38 61 62 76 122 124 244 577 589 1154 1159 1178 1891 2308 2318 2356 3782 4636 7564 10963 17887 21926 35197 35774 35929 43852 70394 71548 71858 140788 143716 339853 668743 679706 1091107 1337486 1359412 2182214 2674972 4364428 20731033 41462066 82924132