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83763372 = 223711269337
BaseRepresentation
bin1001111111000…
…10000010101100
312211121121202010
410333202002230
5132420411442
612151201220
72034656040
oct477420254
9184547663
1083763372
1143311730
1224076210
131447a334
14b1a6020
157548b9c
hex4fe20ac

83763372 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 21611520.

The previous prime is 83763367. The next prime is 83763389. The reversal of 83763372 is 27336738.

It is a self number, because there is not a number n which added to its sum of digits gives 83763372.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 248388 + ... + 248724.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 283763372 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 83763372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

83763372 is an abundant number, since it is smaller than the sum of its proper divisors (161543508).

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

83763372 is a wasteful number, since it uses less digits than its factorization.

83763372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 83763372 is about 9152.2331701066. The cubic root of 83763372 is about 437.5402903847.

The spelling of 83763372 in words is "eighty-three million, seven hundred sixty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 269 308 337 462 538 674 807 924 1011 1076 1348 1614 1883 2022 2359 2959 3228 3707 3766 4044 4718 5649 5918 7077 7414 7532 8877 9436 11121 11298 11836 14154 14828 17754 20713 22242 22596 25949 28308 35508 41426 44484 51898 62139 77847 82852 90653 103796 124278 155694 181306 248556 271959 311388 362612 543918 634571 997183 1087836 1269142 1903713 1994366 2538284 2991549 3807426 3988732 5983098 6980281 7614852 11966196 13960562 20940843 27921124 41881686 83763372