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83457948 = 22375211907
BaseRepresentation
bin1001111100101…
…11011110011100
312211001002210010
410332113132130
5132331123243
612140443220
72032244430
oct476273634
9184032703
1083457948
1143123212
1223b49510
13143a1302
14b1269c0
1574d8433
hex4f9779c

83457948 has 48 divisors (see below), whose sum is σ = 223098624. Its totient is φ = 23786880.

The previous prime is 83457929. The next prime is 83457949. The reversal of 83457948 is 84975438.

It is a junction number, because it is equal to n+sod(n) for n = 83457897 and 83457906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83457949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42811 + ... + 44717.

It is an arithmetic number, because the mean of its divisors is an integer number (4647888).

Almost surely, 283457948 is an apocalyptic number.

It is an amenable number.

83457948 is an abundant number, since it is smaller than the sum of its proper divisors (139640676).

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

83457948 is a wasteful number, since it uses less digits than its factorization.

83457948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2440 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 83457948 is about 9135.5321684070. The cubic root of 83457948 is about 437.0078458097.

The spelling of 83457948 in words is "eighty-three million, four hundred fifty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 521 1042 1563 1907 2084 3126 3647 3814 5721 6252 7294 7628 10941 11442 13349 14588 21882 22884 26698 40047 43764 53396 80094 160188 993547 1987094 2980641 3974188 5961282 6954829 11922564 13909658 20864487 27819316 41728974 83457948