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83912472 = 23327331503
BaseRepresentation
bin1010000000001…
…10011100011000
312211220012021100
411000012130120
5132440144342
612154311400
72036146530
oct500063430
9184805240
1083912472
1143403756
1224128560
1314500167
14b2044c0
157577e4c
hex5006718

83912472 has 96 divisors (see below), whose sum is σ = 261031680. Its totient is φ = 23855040.

The previous prime is 83912471. The next prime is 83912473. The reversal of 83912472 is 27421938.

It is an interprime number because it is at equal distance from previous prime (83912471) and next prime (83912473).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83912471) 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, 166573 + ... + 167075.

It is an arithmetic number, because the mean of its divisors is an integer number (2719080).

Almost surely, 283912472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83912472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515840).

83912472 is an abundant number, since it is smaller than the sum of its proper divisors (177119208).

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

83912472 is a wasteful number, since it uses less digits than its factorization.

83912472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 846 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 83912472 is about 9160.3751014901. The cubic root of 83912472 is about 437.7997458253.

The spelling of 83912472 in words is "eighty-three million, nine hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 331 503 504 662 993 1006 1324 1509 1986 2012 2317 2648 2979 3018 3521 3972 4024 4527 4634 5958 6036 6951 7042 7944 9054 9268 10563 11916 12072 13902 14084 18108 18536 20853 21126 23832 27804 28168 31689 36216 41706 42252 55608 63378 83412 84504 126756 166493 166824 253512 332986 499479 665972 998958 1165451 1331944 1498437 1997916 2330902 2996874 3496353 3995832 4661804 5993748 6992706 9323608 10489059 11987496 13985412 20978118 27970824 41956236 83912472