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87433344 = 2736937
BaseRepresentation
bin1010011011000…
…10000010000000
320002112002000000
411031202002000
5134340331334
612402000000
72111112465
oct515420200
9202462000
1087433344
1145398a69
1225346000
131516390b
14b87d66c
157a21299
hex5362080

87433344 has 112 divisors (see below), whose sum is σ = 261434670. Its totient is φ = 29113344.

The previous prime is 87433343. The next prime is 87433391. The reversal of 87433344 is 44333478.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 1166400 = 9288^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87433299 and 87433308.

It is not an unprimeable number, because it can be changed into a prime (87433343) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92844 + ... + 93780.

Almost surely, 287433344 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 87433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130717335).

87433344 is an abundant number, since it is smaller than the sum of its proper divisors (174001326).

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

87433344 is an frugal number, since it uses more digits than its factorization.

87433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 942 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 87433344 is about 9350.5798750666. The cubic root of 87433344 is about 443.8392405589.

The spelling of 87433344 in words is "eighty-seven million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 937 972 1152 1296 1458 1728 1874 1944 2592 2811 2916 3456 3748 3888 5184 5622 5832 7496 7776 8433 10368 11244 11664 14992 15552 16866 22488 23328 25299 29984 31104 33732 44976 46656 50598 59968 67464 75897 89952 93312 101196 119936 134928 151794 179904 202392 227691 269856 303588 359808 404784 455382 539712 607176 683073 809568 910764 1079424 1214352 1366146 1619136 1821528 2428704 2732292 3238272 3643056 4857408 5464584 7286112 9714816 10929168 14572224 21858336 29144448 43716672 87433344