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82975554 = 23229413877
BaseRepresentation
bin1001111001000…
…01101101000010
312210010121001200
410330201231002
5132220204204
612122242030
72025165144
oct474415502
9183117050
1082975554
1142923842
1223956316
131426287c
14b03cc94
157440539
hex4f21b42

82975554 has 48 divisors (see below), whose sum is σ = 190564920. Its totient is φ = 26046720.

The previous prime is 82975553. The next prime is 82975661. The reversal of 82975554 is 45557928.

82975554 is a `hidden beast` number, since 8 + 2 + 97 + 5 + 554 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41024025 + 41951529 = 6405^2 + 6477^2 .

It is not an unprimeable number, because it can be changed into a prime (82975553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19464 + ... + 23340.

Almost surely, 282975554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82975554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95282460).

82975554 is an abundant number, since it is smaller than the sum of its proper divisors (107589366).

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

82975554 is a wasteful number, since it uses less digits than its factorization.

82975554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3952 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 82975554 is about 9109.0918317909. The cubic root of 82975554 is about 436.1642375670.

The spelling of 82975554 in words is "eighty-two million, nine hundred seventy-five thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 3877 7134 7754 10701 11631 21402 23262 34893 69786 112433 158957 224866 317914 337299 476871 674598 953742 1011897 1430613 2023794 2861226 4609753 9219506 13829259 27658518 41487777 82975554