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77212044 = 22327313237
BaseRepresentation
bin1001001101000…
…10100110001100
312101021210000100
410212202212030
5124231241134
611354531100
71625202000
oct446424614
9171253010
1077212044
113a647608
1221a36a90
1312cc5400
14a37c700
156ba2999
hex49a298c

77212044 has 216 divisors, whose sum is σ = 253125600. Its totient is φ = 19813248.

The previous prime is 77212033. The next prime is 77212087. The reversal of 77212044 is 44021277.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77211999 and 77212017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2086794 + ... + 2086830.

Almost surely, 277212044 is an apocalyptic number.

77212044 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77212044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126562800).

77212044 is an abundant number, since it is smaller than the sum of its proper divisors (175913556).

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

77212044 is a wasteful number, since it uses less digits than its factorization.

77212044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 77212044 is about 8787.0384089294. The cubic root of 77212044 is about 425.8222494561.

The spelling of 77212044 in words is "seventy-seven million, two hundred twelve thousand, forty-four".