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82628352 = 283235863
BaseRepresentation
bin1001110110011…
…00111100000000
312202110221210100
410323030330000
5132123101402
612111002400
72022220662
oct473147400
9182427710
1082628352
11427069a4
1223809400
1314170821
14ad8c532
1573c271c
hex4eccf00

82628352 has 54 divisors (see below), whose sum is σ = 238244552. Its totient is φ = 27542016.

The previous prime is 82628341. The next prime is 82628387. The reversal of 82628352 is 25382628.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15628 + ... + 20235.

Almost surely, 282628352 is an apocalyptic number.

It is an amenable number.

82628352 is an abundant number, since it is smaller than the sum of its proper divisors (155616200).

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

82628352 is a wasteful number, since it uses less digits than its factorization.

82628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35885 (or 35868 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82628352 is about 9090.0138613756. The cubic root of 82628352 is about 435.5550267629. Note that the first 3 decimals are identical.

The spelling of 82628352 in words is "eighty-two million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 35863 71726 107589 143452 215178 286904 322767 430356 573808 645534 860712 1147616 1291068 1721424 2295232 2582136 3442848 4590464 5164272 6885696 9180928 10328544 13771392 20657088 27542784 41314176 82628352