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83975952 = 2431749499
BaseRepresentation
bin1010000000101…
…01111100010000
312212000102100110
411000111330100
5132444212302
612155521320
72036532564
oct500257420
9185012313
1083975952
1143447415
1224159240
1314523018
14b21d6a4
15758bb6c
hex5015f10

83975952 has 20 divisors (see below), whose sum is σ = 216938000. Its totient is φ = 27991968.

The previous prime is 83975933. The next prime is 83975959. The reversal of 83975952 is 25957938.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1749499 = 83975952 / (8 + 3 + 9 + 7 + 5 + 9 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (83975959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 874702 + ... + 874797.

It is an arithmetic number, because the mean of its divisors is an integer number (10846900).

Almost surely, 283975952 is an apocalyptic number.

It is an amenable number.

83975952 is an abundant number, since it is smaller than the sum of its proper divisors (132962048).

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

83975952 is a wasteful number, since it uses less digits than its factorization.

83975952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749510 (or 1749504 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 83975952 is about 9163.8393700457. The cubic root of 83975952 is about 437.9101168744.

The spelling of 83975952 in words is "eighty-three million, nine hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1749499 3498998 5248497 6997996 10496994 13995992 20993988 27991984 41987976 83975952