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83730944 = 291114867
BaseRepresentation
bin1001111110110…
…10001000000000
312211112222021002
410333122020000
5132413342234
612150351132
72034462353
oct477321000
9184488232
1083730944
114329a330
122405b4a8
131446864b
14b19829a
15753e27e
hex4fda200

83730944 has 40 divisors (see below), whose sum is σ = 182519568. Its totient is φ = 38056960.

The previous prime is 83730887. The next prime is 83730947. The reversal of 83730944 is 44903738.

It is a super-2 number, since 2×837309442 = 14021741966262272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83730898 and 83730907.

It is not an unprimeable number, because it can be changed into a prime (83730947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802 + ... + 13065.

Almost surely, 283730944 is an apocalyptic number.

It is an amenable number.

83730944 is an abundant number, since it is smaller than the sum of its proper divisors (98788624).

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

83730944 is a wasteful number, since it uses less digits than its factorization.

83730944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14896 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 83730944 is about 9150.4614091312. The cubic root of 83730944 is about 437.4838202452.

The spelling of 83730944 in words is "eighty-three million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 14867 29734 59468 118936 163537 237872 327074 475744 654148 951488 1308296 1902976 2616592 3805952 5233184 7611904 10466368 20932736 41865472 83730944