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87243672 = 23331149787
BaseRepresentation
bin1010011001100…
…11101110011000
320002011102211010
411030303232120
5134313244142
612353533520
72106362505
oct514635630
9202142733
1087243672
114527950a
12252742a0
13150c8499
14b8304ac
1579d4e9c
hex5333b98

87243672 has 64 divisors (see below), whose sum is σ = 226944000. Its totient is φ = 27918720.

The previous prime is 87243659. The next prime is 87243683. The reversal of 87243672 is 27634278.

It is a super-2 number, since 2×872436722 = 15222916608087168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87243672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110463 + ... + 111249.

It is an arithmetic number, because the mean of its divisors is an integer number (3546000).

Almost surely, 287243672 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 87243672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113472000).

87243672 is an abundant number, since it is smaller than the sum of its proper divisors (139700328).

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

87243672 is a wasteful number, since it uses less digits than its factorization.

87243672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 87243672 is about 9340.4321099187. The cubic root of 87243672 is about 443.5180632280.

It can be divided in two parts, 872 and 43672, that added together give a palindrome (44544).

The spelling of 87243672 in words is "eighty-seven million, two hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 372 447 596 744 787 894 1192 1574 1788 2361 3148 3576 4619 4722 6296 9238 9444 13857 18476 18888 24397 27714 36952 48794 55428 73191 97588 110856 117263 146382 195176 234526 292764 351789 469052 585528 703578 938104 1407156 2814312 3635153 7270306 10905459 14540612 21810918 29081224 43621836 87243672