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76469040 = 24325106207
BaseRepresentation
bin1001000111011…
…01001100110000
312022220000210200
410203231030300
5124034002130
611330555200
71615655544
oct443551460
9168800720
1076469040
113a18a35a
1221738b00
1312ac516b
14a227a24
156aa7760
hex48ed330

76469040 has 60 divisors (see below), whose sum is σ = 256810944. Its totient is φ = 20391552.

The previous prime is 76469017. The next prime is 76469069. The reversal of 76469040 is 4096467.

76469040 is a `hidden beast` number, since 7 + 646 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 76468986 and 76469004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52384 + ... + 53823.

Almost surely, 276469040 is an apocalyptic number.

It is an amenable number.

76469040 is an abundant number, since it is smaller than the sum of its proper divisors (180341904).

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

76469040 is a wasteful number, since it uses less digits than its factorization.

76469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106226 (or 106217 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76469040 is about 8744.6577977643. The cubic root of 76469040 is about 424.4519625831.

The spelling of 76469040 in words is "seventy-six million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 106207 212414 318621 424828 531035 637242 849656 955863 1062070 1274484 1593105 1699312 1911726 2124140 2548968 3186210 3823452 4248280 4779315 5097936 6372420 7646904 8496560 9558630 12744840 15293808 19117260 25489680 38234520 76469040