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87630648 = 23371761503
BaseRepresentation
bin1010011100100…
…10001100111000
320002220002122120
411032102030320
5134413140043
612410121240
72112563640
oct516221470
9202802576
1087630648
1145513226
1225420220
1315202671
14b8d1520
157a5e983
hex5392338

87630648 has 128 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 23132160.

The previous prime is 87630629. The next prime is 87630661. The reversal of 87630648 is 84603678.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173965 + ... + 174467.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 287630648 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 87630648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

87630648 is an abundant number, since it is smaller than the sum of its proper divisors (182352072).

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

87630648 is a wasteful number, since it uses less digits than its factorization.

87630648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 87630648 is about 9361.1242914513. The cubic root of 87630648 is about 444.1728488607.

The spelling of 87630648 in words is "eighty-seven million, six hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 61 68 84 102 119 122 136 168 183 204 238 244 357 366 408 427 476 488 503 714 732 854 952 1006 1037 1281 1428 1464 1509 1708 2012 2074 2562 2856 3018 3111 3416 3521 4024 4148 5124 6036 6222 7042 7259 8296 8551 10248 10563 12072 12444 14084 14518 17102 21126 21777 24888 25653 28168 29036 30683 34204 42252 43554 51306 58072 59857 61366 68408 84504 87108 92049 102612 119714 122732 174216 179571 184098 205224 214781 239428 245464 359142 368196 429562 478856 521611 644343 718284 736392 859124 1043222 1288686 1436568 1564833 1718248 2086444 2577372 3129666 3651277 4172888 5154744 6259332 7302554 10953831 12518664 14605108 21907662 29210216 43815324 87630648