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87995232 = 253213191237
BaseRepresentation
bin1010011111010…
…11001101100000
320010120121202200
411033223031200
5140011321412
612422013200
72115642603
oct517531540
9203517680
1087995232
1145742136
1225577200
13152cc5b0
14b98833a
157ad29dc
hex53eb360

87995232 has 144 divisors (see below), whose sum is σ = 283898160. Its totient is φ = 25629696.

The previous prime is 87995231. The next prime is 87995261. The reversal of 87995232 is 23259978.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87995231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70518 + ... + 71754.

It is an arithmetic number, because the mean of its divisors is an integer number (1971515).

Almost surely, 287995232 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 87995232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141949080).

87995232 is an abundant number, since it is smaller than the sum of its proper divisors (195902928).

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

87995232 is a wasteful number, since it uses less digits than its factorization.

87995232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87995232 is about 9380.5773809505. The cubic root of 87995232 is about 444.7879846831.

The spelling of 87995232 in words is "eighty-seven million, nine hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1237 1248 1368 1482 1824 1872 1976 2223 2474 2736 2964 3711 3744 3952 4446 4948 5472 5928 7422 7904 8892 9896 11133 11856 14844 16081 17784 19792 22266 23503 23712 29688 32162 35568 39584 44532 47006 48243 59376 64324 70509 71136 89064 94012 96486 118752 128648 141018 144729 178128 188024 192972 211527 257296 282036 289458 305539 356256 376048 385944 423054 514592 564072 578916 611078 752096 771888 846108 916617 1128144 1157832 1222156 1543776 1692216 1833234 2256288 2315664 2444312 2749851 3384432 3666468 4631328 4888624 5499702 6768864 7332936 9777248 10999404 14665872 21998808 29331744 43997616 87995232