Search a number
-
+
92628032 = 267229537
BaseRepresentation
bin1011000010101…
…10010001000000
320110021222202212
411201112101000
5142203044112
613105201252
72203216400
oct541262100
9213258685
1092628032
11483168a2
1227030228
13162621b3
14c432800
1581ea522
hex5856440

92628032 has 42 divisors (see below), whose sum is σ = 213825582. Its totient is φ = 39696384.

The previous prime is 92627993. The next prime is 92628101. The reversal of 92628032 is 23082629.

It can be written as a sum of positive squares in only one way, i.e., 48219136 + 44408896 = 6944^2 + 6664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 92628032.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11633 + ... + 17904.

Almost surely, 292628032 is an apocalyptic number.

It is an amenable number.

92628032 is an abundant number, since it is smaller than the sum of its proper divisors (121197550).

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

92628032 is a wasteful number, since it uses less digits than its factorization.

92628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29563 (or 29546 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 92628032 is about 9624.3457959489. The cubic root of 92628032 is about 452.4606471480.

The spelling of 92628032 in words is "ninety-two million, six hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 29537 59074 118148 206759 236296 413518 472592 827036 945184 1447313 1654072 1890368 2894626 3308144 5789252 6616288 11578504 13232576 23157008 46314016 92628032