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82528960 = 265257903
BaseRepresentation
bin1001110101101…
…00101011000000
312202021220110011
410322310223000
5132111411320
612104514304
72021325133
oct472645300
9182256404
1082528960
1142649258
122377b994
1314137507
14ad6421a
1573a305a
hex4eb4ac0

82528960 has 28 divisors (see below), whose sum is σ = 196522848. Its totient is φ = 33011456.

The previous prime is 82528949. The next prime is 82528967. The reversal of 82528960 is 6982528.

82528960 = T7416 + T7417 + T7418.

It is a super-2 number, since 2×825289602 = 13622058477363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82528967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128632 + ... + 129271.

Almost surely, 282528960 is an apocalyptic number.

82528960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82528960 is the 7418-th centered triangular number.

It is an amenable number.

82528960 is an abundant number, since it is smaller than the sum of its proper divisors (113993888).

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

82528960 is a wasteful number, since it uses less digits than its factorization.

82528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257920 (or 257910 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 82528960 is about 9084.5451179462. The cubic root of 82528960 is about 435.3803165348.

The spelling of 82528960 in words is "eighty-two million, five hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 257903 515806 1031612 1289515 2063224 2579030 4126448 5158060 8252896 10316120 16505792 20632240 41264480 82528960