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87947424 = 2533137743
BaseRepresentation
bin1010011110111…
…11100010100000
320010111012012000
411033133202200
5140003304144
612421004000
72115353325
oct517374240
9203435160
1087947424
114570a224
1225553600
13152b38c6
14b974b4c
157ac3769
hex53df8a0

87947424 has 96 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 29062656.

The previous prime is 87947417. The next prime is 87947441. The reversal of 87947424 is 42474978.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 87947424.

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, 117997 + ... + 118739.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 287947424 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 87947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

87947424 is an abundant number, since it is smaller than the sum of its proper divisors (170786016).

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

87947424 is a wasteful number, since it uses less digits than its factorization.

87947424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87947424 is about 9378.0287907428. The cubic root of 87947424 is about 444.7074186659.

The spelling of 87947424 in words is "eighty-seven million, nine hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 743 822 864 1096 1233 1486 1644 2192 2229 2466 2972 3288 3699 4384 4458 4932 5944 6576 6687 7398 8916 9864 11888 13152 13374 14796 17832 19728 20061 23776 26748 29592 35664 39456 40122 53496 59184 71328 80244 101791 106992 118368 160488 203582 213984 305373 320976 407164 610746 641952 814328 916119 1221492 1628656 1832238 2442984 2748357 3257312 3664476 4885968 5496714 7328952 9771936 10993428 14657904 21986856 29315808 43973712 87947424