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87434224 = 2423594027
BaseRepresentation
bin1010011011000…
…10001111110000
320002112010012121
411031202033300
5134340343344
612402004024
72111115163
oct515421760
9202463177
1087434224
1145399699
1225346614
1315164137
14b87dada
157a21684
hex53623f0

87434224 has 40 divisors (see below), whose sum is σ = 179809920. Its totient is φ = 41097408.

The previous prime is 87434209. The next prime is 87434231. The reversal of 87434224 is 42243478.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87434224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19699 + ... + 23725.

It is an arithmetic number, because the mean of its divisors is an integer number (4495248).

Almost surely, 287434224 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 87434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89904960).

87434224 is an abundant number, since it is smaller than the sum of its proper divisors (92375696).

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

87434224 is a wasteful number, since it uses less digits than its factorization.

87434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4111 counting only the distinct ones).

The product of its digits is 43008, while the sum is 34.

The square root of 87434224 is about 9350.6269308534. The cubic root of 87434224 is about 443.8407296065.

The spelling of 87434224 in words is "eighty-seven million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 944 1357 2714 4027 5428 8054 10856 16108 21712 32216 64432 92621 185242 237593 370484 475186 740968 950372 1481936 1900744 3801488 5464639 10929278 21858556 43717112 87434224