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87245312 = 297112213
BaseRepresentation
bin1010011001101…
…00001000000000
320002011112001212
411030310020000
5134313322222
612353545252
72106400340
oct514641000
9202145055
1087245312
114527a770
1225275228
13150c915b
14b830d20
1579d56e2
hex5334200

87245312 has 80 divisors (see below), whose sum is σ = 217432512. Its totient is φ = 33976320.

The previous prime is 87245303. The next prime is 87245329. The reversal of 87245312 is 21354278.

It is a super-2 number, since 2×872453122 = 15223488931954688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38318 + ... + 40530.

Almost surely, 287245312 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 87245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108716256).

87245312 is an abundant number, since it is smaller than the sum of its proper divisors (130187200).

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

87245312 is a wasteful number, since it uses less digits than its factorization.

87245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2233 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 87245312 is about 9340.5198998771. The cubic root of 87245312 is about 443.5208422837.

The spelling of 87245312 in words is "eighty-seven million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2213 2464 2816 3584 4426 4928 5632 8852 9856 15491 17704 19712 24343 30982 35408 39424 48686 61964 70816 97372 123928 141632 170401 194744 247856 283264 340802 389488 495712 566528 681604 778976 991424 1133056 1363208 1557952 1982848 2726416 3115904 3965696 5452832 6231808 7931392 10905664 12463616 21811328 43622656 87245312