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83420704 = 2529241373
BaseRepresentation
bin1001111100011…
…10011000100000
312210222012200201
410332032120200
5132323430304
612135554544
72032031023
oct476163040
9183865621
1083420704
11430a8234
1223b2ba54
131438a383
14b1171ba
1574cc3a4
hex4f8e620

83420704 has 48 divisors (see below), whose sum is σ = 171060120. Its totient is φ = 39997440.

The previous prime is 83420699. The next prime is 83420713. The reversal of 83420704 is 40702438.

It can be written as a sum of positive squares in 4 ways, for example, as 79210000 + 4210704 = 8900^2 + 2052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223462 + ... + 223834.

Almost surely, 283420704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530060).

83420704 is an abundant number, since it is smaller than the sum of its proper divisors (87639416).

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

83420704 is a wasteful number, since it uses less digits than its factorization.

83420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 83420704 is about 9133.4935265757. The cubic root of 83420704 is about 436.9428296656.

The spelling of 83420704 in words is "eighty-three million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 241 373 464 482 746 928 964 1492 1928 2984 3856 5968 6989 7712 10817 11936 13978 21634 27956 43268 55912 86536 89893 111824 173072 179786 223648 346144 359572 719144 1438288 2606897 2876576 5213794 10427588 20855176 41710352 83420704