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82938724 = 221121929311
BaseRepresentation
bin1001111000110…
…00101101100100
312210001201112121
410330120231210
5132213014344
612121355324
72024652601
oct474305544
9183051477
1082938724
11428a9100
1223938b44
131424bb8b
14b02d6a8
157434684
hex4f18b64

82938724 has 72 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 34372800.

The previous prime is 82938707. The next prime is 82938727. The reversal of 82938724 is 42783928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82938727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266529 + ... + 266839.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 282938724 is an apocalyptic number.

It is an amenable number.

82938724 is an abundant number, since it is smaller than the sum of its proper divisors (91344476).

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

82938724 is a wasteful number, since it uses less digits than its factorization.

82938724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 82938724 is about 9107.0700008290. The cubic root of 82938724 is about 436.0996952393.

The spelling of 82938724 in words is "eighty-two million, nine hundred thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 121 209 242 311 319 418 484 551 622 638 836 1102 1244 1276 2204 2299 3421 3509 4598 5909 6061 6842 7018 9019 9196 11818 12122 13684 14036 18038 23636 24244 36076 37631 64999 66671 75262 99209 129998 133342 150524 171361 198418 259996 266684 342722 396836 685444 714989 1091299 1429978 1884971 2182598 2859956 3769942 4365196 7539884 20734681 41469362 82938724