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77242848 = 253804613
BaseRepresentation
bin1001001101010…
…10000111100000
312101100100021020
410212222013200
5124233232343
611355325440
71625360544
oct446520740
9171310236
1077242848
113a668771
1221a50880
1313006437
14a389a24
156babb83
hex49aa1e0

77242848 has 24 divisors (see below), whose sum is σ = 202762728. Its totient is φ = 25747584.

The previous prime is 77242843. The next prime is 77242861. The reversal of 77242848 is 84824277.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×772428482 = 11932915134302208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77242843) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 402211 + ... + 402402.

It is an arithmetic number, because the mean of its divisors is an integer number (8448447).

Almost surely, 277242848 is an apocalyptic number.

It is an amenable number.

77242848 is an abundant number, since it is smaller than the sum of its proper divisors (125519880).

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

77242848 is a wasteful number, since it uses less digits than its factorization.

77242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804626 (or 804618 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 77242848 is about 8788.7910431413. The cubic root of 77242848 is about 425.8788696581.

The spelling of 77242848 in words is "seventy-seven million, two hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 804613 1609226 2413839 3218452 4827678 6436904 9655356 12873808 19310712 25747616 38621424 77242848