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84370752 = 2632146477
BaseRepresentation
bin1010000011101…
…10010101000000
312212202110220200
411001312111000
5133044331002
612212205200
72043065604
oct501662500
9185673820
1084370752
1143696aa4
1224309800
131463092b
14b2c3504
157618b1c
hex5076540

84370752 has 42 divisors (see below), whose sum is σ = 241835178. Its totient is φ = 28123392.

The previous prime is 84370717. The next prime is 84370757. The reversal of 84370752 is 25707348.

It can be written as a sum of positive squares in only one way, i.e., 79281216 + 5089536 = 8904^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84370757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72663 + ... + 73814.

Almost surely, 284370752 is an apocalyptic number.

It is an amenable number.

84370752 is an abundant number, since it is smaller than the sum of its proper divisors (157464426).

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

84370752 is a wasteful number, since it uses less digits than its factorization.

84370752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146495 (or 146482 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 84370752 is about 9185.3553006947. The cubic root of 84370752 is about 438.5952998811.

The spelling of 84370752 in words is "eighty-four million, three hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 146477 292954 439431 585908 878862 1171816 1318293 1757724 2343632 2636586 3515448 4687264 5273172 7030896 9374528 10546344 14061792 21092688 28123584 42185376 84370752