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380597952 = 2637283183
BaseRepresentation
bin10110101011110…
…111011011000000
3222112011101020110
4112223313123000
51234413113302
6101433311320
712301013010
oct2653673300
9875141213
10380597952
11185923969
12a7565540
1360b0a3b7
1438793c40
152362eb6c
hex16af76c0

380597952 has 56 divisors (see below), whose sum is σ = 1150859776. Its totient is φ = 108741888.

The previous prime is 380597941. The next prime is 380597953. The reversal of 380597952 is 259795083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (380597953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140248 + ... + 142935.

Almost surely, 2380597952 is an apocalyptic number.

380597952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380597952 is an abundant number, since it is smaller than the sum of its proper divisors (770261824).

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

380597952 is a wasteful number, since it uses less digits than its factorization.

380597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283205 (or 283195 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 380597952 is about 19508.9198060784. The cubic root of 380597952 is about 724.6953627776.

The spelling of 380597952 in words is "three hundred eighty million, five hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 283183 566366 849549 1132732 1699098 1982281 2265464 3398196 3964562 4530928 5946843 6796392 7929124 9061856 11893686 13592784 15858248 18123712 23787372 27185568 31716496 47574744 54371136 63432992 95149488 126865984 190298976 380597952