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83242752 = 283283383
BaseRepresentation
bin1001111011000…
…10111100000000
312210122011120220
410331202330000
5132302232002
612132103040
72030360145
oct475427400
9183564526
1083242752
1142a9656a
1223a64a80
1314327388
14b0ac3cc
1574947bc
hex4f62f00

83242752 has 72 divisors (see below), whose sum is σ = 222910464. Its totient is φ = 27577344.

The previous prime is 83242739. The next prime is 83242763. The reversal of 83242752 is 25724238.

It is a congruent number.

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, 217153 + ... + 217535.

Almost surely, 283242752 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 83242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111455232).

83242752 is an abundant number, since it is smaller than the sum of its proper divisors (139667712).

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

83242752 is a wasteful number, since it uses less digits than its factorization.

83242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 83242752 is about 9123.7465988485. The cubic root of 83242752 is about 436.6319148253.

The spelling of 83242752 in words is "eighty-three million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 283 383 384 566 766 768 849 1132 1149 1532 1698 2264 2298 3064 3396 4528 4596 6128 6792 9056 9192 12256 13584 18112 18384 24512 27168 36224 36768 49024 54336 72448 73536 98048 108389 108672 147072 216778 217344 294144 325167 433556 650334 867112 1300668 1734224 2601336 3468448 5202672 6936896 10405344 13873792 20810688 27747584 41621376 83242752