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672647976 = 2334711131761
BaseRepresentation
bin101000000101111…
…100101100101000
31201212201001120000
4220011330230220
52334144213401
6150425103000
722445261550
oct5005745450
91655631500
10672647976
11315768420
12169327a60
13a9483770
1465498160
153e0bd186
hex2817cb28

672647976 has 640 divisors, whose sum is σ = 2722325760. Its totient is φ = 149299200.

The previous prime is 672647971. The next prime is 672647977. The reversal of 672647976 is 679746276.

It is a happy number.

It is a super-3 number, since 3×6726479763 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672647971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11026986 + ... + 11027046.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2672647976 is an apocalyptic number.

672647976 is a gapful number since it is divisible by the number (66) 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 672647976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

672647976 is an abundant number, since it is smaller than the sum of its proper divisors (2049677784).

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

672647976 is a wasteful number, since it uses less digits than its factorization.

672647976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 672647976 is about 25935.4578906947. The cubic root of 672647976 is about 876.1852676263.

The spelling of 672647976 in words is "six hundred seventy-two million, six hundred forty-seven thousand, nine hundred seventy-six".