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87694768 = 2472359577
BaseRepresentation
bin1010011101000…
…01110110110000
320010000100121101
411032201312300
5134422213033
612411334144
72113251610
oct516416660
9203010541
1087694768
1145557417
1225451354
13152258c5
14b90aa40
157a7397d
hex53a1db0

87694768 has 80 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 35278848.

The previous prime is 87694757. The next prime is 87694769. The reversal of 87694768 is 86749678.

It is not an unprimeable number, because it can be changed into a prime (87694769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151696 + ... + 152272.

It is an arithmetic number, because the mean of its divisors is an integer number (2580192).

Almost surely, 287694768 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 87694768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

87694768 is an abundant number, since it is smaller than the sum of its proper divisors (118720592).

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

87694768 is a wasteful number, since it uses less digits than its factorization.

87694768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 55.

The square root of 87694768 is about 9364.5484674916. The cubic root of 87694768 is about 444.2811573126.

The spelling of 87694768 in words is "eighty-seven million, six hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 59 92 112 118 161 184 236 322 368 413 472 577 644 826 944 1154 1288 1357 1652 2308 2576 2714 3304 4039 4616 5428 6608 8078 9232 9499 10856 13271 16156 18998 21712 26542 32312 34043 37996 53084 64624 68086 75992 92897 106168 136172 151984 185794 212336 238301 272344 371588 476602 544688 743176 782989 953204 1486352 1565978 1906408 3131956 3812816 5480923 6263912 10961846 12527824 21923692 43847384 87694768