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667493948 = 221123897411
BaseRepresentation
bin100111110010010…
…010011000111100
31201112000012120002
4213302102120330
52331334301243
6150122413432
722353414332
oct4762223074
91645005502
10667493948
113128680a0
12167661278
13a839a844
1464915b52
153d900eb8
hex27c9263c

667493948 has 48 divisors (see below), whose sum is σ = 1344833280. Its totient is φ = 286915200.

The previous prime is 667493941. The next prime is 667493977. The reversal of 667493948 is 849394766.

667493948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 667493893 and 667493902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667493941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86363 + ... + 93773.

It is an arithmetic number, because the mean of its divisors is an integer number (28017360).

Almost surely, 2667493948 is an apocalyptic number.

It is an amenable number.

667493948 is an abundant number, since it is smaller than the sum of its proper divisors (677339332).

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

667493948 is a wasteful number, since it uses less digits than its factorization.

667493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7536 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The square root of 667493948 is about 25835.9042419653. The cubic root of 667493948 is about 873.9416637767.

The spelling of 667493948 in words is "six hundred sixty-seven million, four hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 4 11 22 23 44 46 89 92 178 253 356 506 979 1012 1958 2047 3916 4094 7411 8188 14822 22517 29644 45034 81521 90068 163042 170453 326084 340906 659579 681812 1319158 1874983 2638316 3749966 7255369 7499932 14510738 15170317 29021476 30340634 60681268 166873487 333746974 667493948