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78287104 = 2872792
BaseRepresentation
bin1001010101010…
…01000100000000
312110022101201101
410222221010000
5130020141404
611433544144
71640300200
oct452510400
9173271641
1078287104
1140211295
1222275054
13132b083c
14a57c400
156d162a4
hex4aa9100

78287104 has 81 divisors (see below), whose sum is σ = 184111767. Its totient is φ = 33126912.

The previous prime is 78287093. The next prime is 78287113. The reversal of 78287104 is 40178287.

The square root of 78287104 is 8848.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×782871042 = 12257741305413632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 990937 + ... + 991015.

Almost surely, 278287104 is an apocalyptic number.

78287104 is the 8848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78287104

78287104 is an abundant number, since it is smaller than the sum of its proper divisors (105824663).

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

78287104 is an frugal number, since it uses more digits than its factorization.

78287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The cubic root of 78287104 is about 427.7894559408.

The spelling of 78287104 in words is "seventy-eight million, two hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 392 448 553 632 784 896 1106 1264 1568 1792 2212 2528 3136 3871 4424 5056 6241 6272 7742 8848 10112 12482 12544 15484 17696 20224 24964 30968 35392 43687 49928 61936 70784 87374 99856 123872 141568 174748 199712 247744 305809 349496 399424 495488 611618 698992 798848 990976 1223236 1397984 1597696 2446472 2795968 4892944 5591936 9785888 11183872 19571776 39143552 78287104