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82575948 = 22371375619
BaseRepresentation
bin1001110110000…
…00001001001100
312202101021220110
410323000021030
5132114412243
612105520020
72021612130
oct473001114
9182337813
1082575948
1142680594
12237a3010
1314152a10
14ad773c0
1573b1e33
hex4ec024c

82575948 has 48 divisors (see below), whose sum is σ = 237144320. Its totient is φ = 21777984.

The previous prime is 82575931. The next prime is 82575967. The reversal of 82575948 is 84957528.

It is a junction number, because it is equal to n+sod(n) for n = 82575897 and 82575906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36718 + ... + 38901.

Almost surely, 282575948 is an apocalyptic number.

It is an amenable number.

82575948 is an abundant number, since it is smaller than the sum of its proper divisors (154568372).

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

82575948 is a wasteful number, since it uses less digits than its factorization.

82575948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75646 (or 75644 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 82575948 is about 9087.1309003447. The cubic root of 82575948 is about 435.4629290263.

The spelling of 82575948 in words is "eighty-two million, five hundred seventy-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 75619 151238 226857 302476 453714 529333 907428 983047 1058666 1587999 1966094 2117332 2949141 3175998 3932188 5898282 6351996 6881329 11796564 13762658 20643987 27525316 41287974 82575948