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87267232 = 25133167101
BaseRepresentation
bin1010011001110…
…01011110100000
320002012122010201
411030321132200
5134320022412
612354234544
72106521263
oct514713640
9202178121
1087267232
1145295188
1225285a54
1315106120
14b838cda
1579dbe57
hex53397a0

87267232 has 96 divisors (see below), whose sum is σ = 195761664. Its totient is φ = 38016000.

The previous prime is 87267223. The next prime is 87267233. The reversal of 87267232 is 23276278.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87267191 and 87267200.

It is not an unprimeable number, because it can be changed into a prime (87267233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863982 + ... + 864082.

It is an arithmetic number, because the mean of its divisors is an integer number (2039184).

Almost surely, 287267232 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 87267232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97880832).

87267232 is an abundant number, since it is smaller than the sum of its proper divisors (108494432).

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

87267232 is a wasteful number, since it uses less digits than its factorization.

87267232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 87267232 is about 9341.6932084071. The cubic root of 87267232 is about 443.5579833921.

The spelling of 87267232 in words is "eighty-seven million, two hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 67 101 104 124 134 202 208 248 268 403 404 416 496 536 806 808 871 992 1072 1313 1612 1616 1742 2077 2144 2626 3131 3224 3232 3484 4154 5252 6262 6448 6767 6968 8308 10504 12524 12896 13534 13936 16616 21008 25048 27001 27068 27872 33232 40703 42016 50096 54002 54136 66464 81406 87971 100192 108004 108272 162812 175942 209777 216008 216544 325624 351884 419554 432016 651248 703768 839108 864032 1302496 1407536 1678216 2727101 2815072 3356432 5454202 6712864 10908404 21816808 43633616 87267232