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82946752 = 267185149
BaseRepresentation
bin1001111000110…
…10101011000000
312210002010112221
410330122223000
5132213244002
612121500424
72025015160
oct474325300
9183063487
1082946752
1142904139
1223941714
1314252725
14b0325a0
157436c37
hex4f1aac0

82946752 has 28 divisors (see below), whose sum is σ = 188112400. Its totient is φ = 35548416.

The previous prime is 82946741. The next prime is 82946767. The reversal of 82946752 is 25764928.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 82946699 and 82946708.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92127 + ... + 93022.

It is an arithmetic number, because the mean of its divisors is an integer number (6718300).

Almost surely, 282946752 is an apocalyptic number.

It is an amenable number.

82946752 is an abundant number, since it is smaller than the sum of its proper divisors (105165648).

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

82946752 is a wasteful number, since it uses less digits than its factorization.

82946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185168 (or 185158 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 82946752 is about 9107.5107466310. The cubic root of 82946752 is about 436.1137654477.

The spelling of 82946752 in words is "eighty-two million, nine hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 185149 370298 740596 1296043 1481192 2592086 2962384 5184172 5924768 10368344 11849536 20736688 41473376 82946752