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77248116 = 223211195071
BaseRepresentation
bin1001001101010…
…11011001110100
312101100121111100
410212223121310
5124233414431
611355410100
71625412111
oct446533164
9171317440
1077248116
113a671720
1221a53930
131300895a
14a38b908
156bad4e6
hex49ab674

77248116 has 36 divisors (see below), whose sum is σ = 213018624. Its totient is φ = 23408400.

The previous prime is 77248111. The next prime is 77248123. The reversal of 77248116 is 61184277.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77248111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97140 + ... + 97931.

It is an arithmetic number, because the mean of its divisors is an integer number (5917184).

Almost surely, 277248116 is an apocalyptic number.

It is an amenable number.

77248116 is an abundant number, since it is smaller than the sum of its proper divisors (135770508).

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

77248116 is a wasteful number, since it uses less digits than its factorization.

77248116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195092 (or 195087 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 77248116 is about 8789.0907379546. The cubic root of 77248116 is about 425.8885511538. Note that the first 3 decimals are identical.

The spelling of 77248116 in words is "seventy-seven million, two hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 195071 390142 585213 780284 1170426 1755639 2145781 2340852 3511278 4291562 6437343 7022556 8583124 12874686 19312029 25749372 38624058 77248116