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41292972 = 22327163861
BaseRepresentation
bin1001110110000…
…1010010101100
32212200220022100
42131201102230
541032333342
64033015100
71010661450
oct235412254
985626270
1041292972
1121344026
12119b4490
13872a216
1456ac660
153959e4c
hex27614ac

41292972 has 36 divisors (see below), whose sum is σ = 119291536. Its totient is φ = 11797920.

The previous prime is 41292893. The next prime is 41292991. The reversal of 41292972 is 27929214.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81679 + ... + 82182.

Almost surely, 241292972 is an apocalyptic number.

41292972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41292972 is an abundant number, since it is smaller than the sum of its proper divisors (77998564).

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

41292972 is a wasteful number, since it uses less digits than its factorization.

41292972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163878 (or 163873 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 41292972 is about 6425.9607841941. The cubic root of 41292972 is about 345.6411015610.

The spelling of 41292972 in words is "forty-one million, two hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 163861 327722 491583 655444 983166 1147027 1474749 1966332 2294054 2949498 3441081 4588108 5898996 6882162 10323243 13764324 20646486 41292972