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87750672 = 2437379317
BaseRepresentation
bin1010011101011…
…11100000010000
320010010012021220
411032233200100
5134431010142
612412445040
72113603602
oct516574020
9203105256
1087750672
1145595419
1225479780
1315245199
14b923172
157a852ec
hex53af810

87750672 has 80 divisors (see below), whose sum is σ = 233437440. Its totient is φ = 28394496.

The previous prime is 87750661. The next prime is 87750679. The reversal of 87750672 is 27605778.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (87750679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276658 + ... + 276974.

It is an arithmetic number, because the mean of its divisors is an integer number (2917968).

Almost surely, 287750672 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 87750672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116718720).

87750672 is an abundant number, since it is smaller than the sum of its proper divisors (145686768).

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

87750672 is a wasteful number, since it uses less digits than its factorization.

87750672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 87750672 is about 9367.5328662354. The cubic root of 87750672 is about 444.3755446157.

The spelling of 87750672 in words is "eighty-seven million, seven hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 79 146 158 219 237 292 316 317 438 474 584 632 634 876 948 951 1168 1264 1268 1752 1896 1902 2536 3504 3792 3804 5072 5767 7608 11534 15216 17301 23068 23141 25043 34602 46136 46282 50086 69204 69423 75129 92272 92564 100172 138408 138846 150258 185128 200344 276816 277692 300516 370256 400688 555384 601032 1110768 1202064 1828139 3656278 5484417 7312556 10968834 14625112 21937668 29250224 43875336 87750672