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87023872 = 281379331
BaseRepresentation
bin1010010111111…
…10000100000000
320001202021022101
411023332010000
5134234230442
612345120144
72104455625
oct513760400
9201667271
1087023872
1145139361
1225189054
131504c420
14b7b434c
15798ecb7
hex52fe100

87023872 has 72 divisors (see below), whose sum is σ = 190010240. Its totient is φ = 39536640.

The previous prime is 87023863. The next prime is 87023887. The reversal of 87023872 is 27832078.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262747 + ... + 263077.

Almost surely, 287023872 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 87023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95005120).

87023872 is an abundant number, since it is smaller than the sum of its proper divisors (102986368).

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

87023872 is a wasteful number, since it uses less digits than its factorization.

87023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 87023872 is about 9328.6586388398. The cubic root of 87023872 is about 443.1452864205.

It can be divided in two parts, 870 and 23872, that added together give a palindrome (24742).

The spelling of 87023872 in words is "eighty-seven million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 331 416 632 662 832 1027 1264 1324 1664 2054 2528 2648 3328 4108 4303 5056 5296 8216 8606 10112 10592 16432 17212 20224 21184 26149 32864 34424 42368 52298 65728 68848 84736 104596 131456 137696 209192 262912 275392 339937 418384 550784 679874 836768 1101568 1359748 1673536 2719496 3347072 5438992 6694144 10877984 21755968 43511936 87023872