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87375288 = 233711133637
BaseRepresentation
bin1010011010100…
…11110110111000
320002102010100210
411031103312320
5134332002123
612400431120
72110451310
oct515236670
9202363323
1087375288
1145359390
12253184a0
1315143370
14b866440
157a0de93
hex5353db8

87375288 has 128 divisors (see below), whose sum is σ = 293368320. Its totient is φ = 20943360.

The previous prime is 87375263. The next prime is 87375307. The reversal of 87375288 is 88257378.

It is a nialpdrome in base 14.

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, 22206 + ... + 25842.

It is an arithmetic number, because the mean of its divisors is an integer number (2291940).

Almost surely, 287375288 is an apocalyptic number.

87375288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87375288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146684160).

87375288 is an abundant number, since it is smaller than the sum of its proper divisors (205993032).

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

87375288 is a wasteful number, since it uses less digits than its factorization.

87375288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3673 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 87375288 is about 9347.4749531625. The cubic root of 87375288 is about 443.7409819499.

The spelling of 87375288 in words is "eighty-seven million, three hundred seventy-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 3637 4004 6006 7274 8008 10911 12012 14548 21822 24024 25459 29096 40007 43644 47281 50918 76377 80014 87288 94562 101836 120021 141843 152754 160028 189124 203672 240042 280049 283686 305508 320056 330967 378248 480084 520091 560098 567372 611016 661934 840147 960168 992901 1040182 1120196 1134744 1323868 1560273 1680294 1985802 2080364 2240392 2647736 3120546 3360588 3640637 3971604 4160728 6241092 6721176 7281274 7943208 10921911 12482184 14562548 21843822 29125096 43687644 87375288