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83416956 = 22375091951
BaseRepresentation
bin1001111100011…
…01011101111100
312210222000112220
410332031131330
5132323320311
612135525340
72032014060
oct476153574
9183860486
1083416956
11430a5437
1223b29850
131438875c
14b115aa0
1574cb206
hex4f8d77c

83416956 has 48 divisors (see below), whose sum is σ = 222996480. Its totient is φ = 23774400.

The previous prime is 83416913. The next prime is 83416979. The reversal of 83416956 is 65961438.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

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, 41781 + ... + 43731.

It is an arithmetic number, because the mean of its divisors is an integer number (4645760).

Almost surely, 283416956 is an apocalyptic number.

It is an amenable number.

83416956 is an abundant number, since it is smaller than the sum of its proper divisors (139579524).

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

83416956 is a wasteful number, since it uses less digits than its factorization.

83416956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2472 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 83416956 is about 9133.2883453880. The cubic root of 83416956 is about 436.9362857816.

The spelling of 83416956 in words is "eighty-three million, four hundred sixteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 509 1018 1527 1951 2036 3054 3563 3902 5853 6108 7126 7804 10689 11706 13657 14252 21378 23412 27314 40971 42756 54628 81942 163884 993059 1986118 2979177 3972236 5958354 6951413 11916708 13902826 20854239 27805652 41708478 83416956