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78146976 = 253814031
BaseRepresentation
bin1001010100001…
…10110110100000
312110001021111110
410222012312200
5130001200401
611430543320
71636144515
oct452066640
9173037443
1078146976
1140125a86
1222207b40
1313261b1b
14a54330c
156cd99d6
hex4a86da0

78146976 has 24 divisors (see below), whose sum is σ = 205136064. Its totient is φ = 26048960.

The previous prime is 78146969. The next prime is 78146993. The reversal of 78146976 is 67964187.

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

It is a super-2 number, since 2×781469762 = 12213899715889152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 3 ways as a sum of consecutive naturals, for example, 406920 + ... + 407111.

It is an arithmetic number, because the mean of its divisors is an integer number (8547336).

Almost surely, 278146976 is an apocalyptic number.

It is an amenable number.

78146976 is an abundant number, since it is smaller than the sum of its proper divisors (126989088).

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

78146976 is a wasteful number, since it uses less digits than its factorization.

78146976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814044 (or 814036 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 78146976 is about 8840.0778277117. The cubic root of 78146976 is about 427.5340665715.

The spelling of 78146976 in words is "seventy-eight million, one hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 814031 1628062 2442093 3256124 4884186 6512248 9768372 13024496 19536744 26048992 39073488 78146976