Search a number
-
+
381157152 = 25331211607
BaseRepresentation
bin10110101101111…
…111111100100000
3222120012210022120
4112231333330200
51240034012102
6101453304240
712305532225
oct2655777440
9876183276
10381157152
11186176012
12a7795080
1360c74a9c
143889b94c
15236e06bc
hex16b7ff20

381157152 has 96 divisors (see below), whose sum is σ = 1039417344. Its totient is φ = 122169600.

The previous prime is 381157151. The next prime is 381157159. The reversal of 381157152 is 251751183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3811571522 = 290561549041502208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381157151) 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, 627633 + ... + 628239.

It is an arithmetic number, because the mean of its divisors is an integer number (10827264).

Almost surely, 2381157152 is an apocalyptic number.

381157152 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 381157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519708672).

381157152 is an abundant number, since it is smaller than the sum of its proper divisors (658260192).

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

381157152 is a wasteful number, since it uses less digits than its factorization.

381157152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its digits is 8400, while the sum is 33.

The square root of 381157152 is about 19523.2464513461. The cubic root of 381157152 is about 725.0501127469.

The spelling of 381157152 in words is "three hundred eighty-one million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 211 248 372 422 496 607 633 744 844 992 1214 1266 1488 1688 1821 2428 2532 2976 3376 3642 4856 5064 6541 6752 7284 9712 10128 13082 14568 18817 19424 19623 20256 26164 29136 37634 39246 52328 56451 58272 75268 78492 104656 112902 128077 150536 156984 209312 225804 256154 301072 313968 384231 451608 512308 602144 627936 768462 903216 1024616 1536924 1806432 2049232 3073848 3970387 4098464 6147696 7940774 11911161 12295392 15881548 23822322 31763096 47644644 63526192 95289288 127052384 190578576 381157152