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83790672 = 2437249377
BaseRepresentation
bin1001111111010…
…00101101010000
312211200000012020
410333220231100
5132422300142
612151531440
72035131450
oct477505520
9184600166
1083790672
1143330199
1224089b80
13144898a4
14b1b1d60
157551cec
hex4fe8b50

83790672 has 40 divisors (see below), whose sum is σ = 247382976. Its totient is φ = 23940096.

The previous prime is 83790667. The next prime is 83790673. The reversal of 83790672 is 27609738.

It is a super-3 number, since 3×837906723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83790673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124353 + ... + 125024.

Almost surely, 283790672 is an apocalyptic number.

It is an amenable number.

83790672 is an abundant number, since it is smaller than the sum of its proper divisors (163592304).

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

83790672 is a wasteful number, since it uses less digits than its factorization.

83790672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249395 (or 249389 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 83790672 is about 9153.7244878792. The cubic root of 83790672 is about 437.5878193232.

The spelling of 83790672 in words is "eighty-three million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 249377 498754 748131 997508 1496262 1745639 1995016 2992524 3491278 3990032 5236917 5985048 6982556 10473834 11970096 13965112 20947668 27930224 41895336 83790672