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87939488 = 25713223101
BaseRepresentation
bin1010011110111…
…01100110100000
320010110210022002
411033131212200
5140003030423
612420503132
72115321230
oct517354640
9203423262
1087939488
114570426a
122554aaa8
13152b0100
14b971cc0
157ac1228
hex53dd9a0

87939488 has 144 divisors (see below), whose sum is σ = 225783936. Its totient is φ = 32947200.

The previous prime is 87939479. The next prime is 87939497. The reversal of 87939488 is 88493978.

It is an interprime number because it is at equal distance from previous prime (87939479) and next prime (87939497).

It is a super-4 number, since 4×879394884 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870638 + ... + 870738.

It is an arithmetic number, because the mean of its divisors is an integer number (1567944).

Almost surely, 287939488 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 87939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112891968).

87939488 is an abundant number, since it is smaller than the sum of its proper divisors (137844448).

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

87939488 is a wasteful number, since it uses less digits than its factorization.

87939488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 56.

The square root of 87939488 is about 9377.6056645607. The cubic root of 87939488 is about 444.6940420973.

It can be divided in two parts, 8793 and 9488, that added together give a palindrome (18281).

The spelling of 87939488 in words is "eighty-seven million, nine hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 101 104 112 161 169 182 184 202 208 224 299 322 338 364 368 404 416 598 644 676 707 728 736 808 1183 1196 1288 1313 1352 1414 1456 1616 2093 2323 2366 2392 2576 2626 2704 2828 2912 3232 3887 4186 4646 4732 4784 5152 5252 5408 5656 7774 8372 9191 9292 9464 9568 10504 11312 15548 16261 16744 17069 18382 18584 18928 21008 22624 27209 30199 31096 32522 33488 34138 36764 37168 37856 42016 54418 60398 62192 65044 66976 68276 73528 74336 108836 119483 120796 124384 130088 136552 147056 211393 217672 238966 241592 260176 273104 294112 392587 422786 435344 477932 483184 520352 546208 785174 845572 870688 955864 966368 1570348 1691144 1911728 2748109 3140696 3382288 3823456 5496218 6281392 6764576 10992436 12562784 21984872 43969744 87939488