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76374216 = 23323728669
BaseRepresentation
bin1001000110101…
…10000011001000
312022201012201200
410203112003020
5124022433331
611324544200
71615112232
oct443260310
9168635650
1076374216
113a125096
12216b2060
1312a90c59
14a201252
156a895e6
hex48d60c8

76374216 has 48 divisors (see below), whose sum is σ = 212444700. Its totient is φ = 24769152.

The previous prime is 76374209. The next prime is 76374239. The reversal of 76374216 is 61247367.

76374216 is a `hidden beast` number, since 7 + 637 + 4 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65124900 + 11249316 = 8070^2 + 3354^2 .

It is a super-2 number, since 2×763742162 = 11666041739229312, which contains 22 as substring.

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

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, 11671 + ... + 16998.

Almost surely, 276374216 is an apocalyptic number.

It is an amenable number.

76374216 is an abundant number, since it is smaller than the sum of its proper divisors (136070484).

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

76374216 is a wasteful number, since it uses less digits than its factorization.

76374216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28718 (or 28711 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76374216 is about 8739.2342914010. The cubic root of 76374216 is about 424.2764454469.

The spelling of 76374216 in words is "seventy-six million, three hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 28669 57338 86007 114676 172014 229352 258021 344028 516042 688056 1032084 1060753 2064168 2121506 3182259 4243012 6364518 8486024 9546777 12729036 19093554 25458072 38187108 76374216