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376493472 = 25329713477
BaseRepresentation
bin10110011100001…
…101010110100000
3222020102211221200
4112130031112200
51232340242342
6101205321200
712221066415
oct2634152640
9866384850
10376493472
11183580133
12a6106200
1360001104
143800610c
15230bd94c
hex1670d5a0

376493472 has 72 divisors (see below), whose sum is σ = 1081771236. Its totient is φ = 124194816.

The previous prime is 376493471. The next prime is 376493479. The reversal of 376493472 is 274394673.

376493472 is a `hidden beast` number, since 37 + 64 + 93 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374654736 + 1838736 = 19356^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3764934722 = 283494668917229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (376493471) 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 11 ways as a sum of consecutive naturals, for example, 21198 + ... + 34674.

Almost surely, 2376493472 is an apocalyptic number.

376493472 is a gapful number since it is divisible by the number (32) 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 376493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540885618).

376493472 is an abundant number, since it is smaller than the sum of its proper divisors (705277764).

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

376493472 is a wasteful number, since it uses less digits than its factorization.

376493472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590 (or 13579 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 376493472 is about 19403.4396950644. The cubic root of 376493472 is about 722.0808323595.

The spelling of 376493472 in words is "three hundred seventy-six million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13477 13968 26954 27936 40431 53908 80862 107816 121293 161724 215632 242586 323448 431264 485172 646896 970344 1293792 1307269 1940688 2614538 3881376 3921807 5229076 7843614 10458152 11765421 15687228 20916304 23530842 31374456 41832608 47061684 62748912 94123368 125497824 188246736 376493472