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380159253 = 321773101337
BaseRepresentation
bin10110101010001…
…100010100010101
3222111100002110100
4112222030110111
51234310044003
6101420044313
712264205005
oct2652142425
9874302410
10380159253
11185654301
12a7393699
13609b5806
14386bc005
1523594ba3
hex16a8c515

380159253 has 48 divisors (see below), whose sum is σ = 596986416. Its totient is φ = 232243200.

The previous prime is 380159251. The next prime is 380159281. The reversal of 380159253 is 352951083.

It can be written as a sum of positive squares in 8 ways, for example, as 45927729 + 334231524 = 6777^2 + 18282^2 .

It is not a de Polignac number, because 380159253 - 21 = 380159251 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380159251) 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 47 ways as a sum of consecutive naturals, for example, 1127901 + ... + 1128237.

It is an arithmetic number, because the mean of its divisors is an integer number (12437217).

Almost surely, 2380159253 is an apocalyptic number.

It is an amenable number.

380159253 is a deficient number, since it is larger than the sum of its proper divisors (216827163).

380159253 is a wasteful number, since it uses less digits than its factorization.

380159253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 380159253 is about 19497.6730150036. The cubic root of 380159253 is about 724.4168139312.

The spelling of 380159253 in words is "three hundred eighty million, one hundred fifty-nine thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 73 101 153 219 303 337 657 909 1011 1241 1717 3033 3723 5151 5729 7373 11169 15453 17187 22119 24601 34037 51561 66357 73803 102111 125341 221409 306333 376023 418217 578629 1128069 1254651 1735887 2484701 3763953 5207661 7454103 22362309 42239917 126719751 380159253