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383113152 = 2634263281
BaseRepresentation
bin10110110101011…
…101011111000000
3222200220011110000
4112311131133000
51241034110102
6102003240000
712331256652
oct2665353700
9880804400
10383113152
11187291644
12a8379000
13614ab196
1438c4a6d2
152397a01c
hex16d5d7c0

383113152 has 140 divisors (see below), whose sum is σ = 1144042416. Its totient is φ = 126766080.

The previous prime is 383113151. The next prime is 383113183. The reversal of 383113152 is 251311383.

383113152 is a `hidden beast` number, since 38 + 311 + 315 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383113151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1363252 + ... + 1363532.

Almost surely, 2383113152 is an apocalyptic number.

383113152 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 383113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572021208).

383113152 is an abundant number, since it is smaller than the sum of its proper divisors (760929264).

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

383113152 is a wasteful number, since it uses less digits than its factorization.

383113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 383113152 is about 19573.2764758484. The cubic root of 383113152 is about 726.2882538163.

The spelling of 383113152 in words is "three hundred eighty-three million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 263 281 288 324 432 526 562 576 648 789 843 864 1052 1124 1296 1578 1686 1728 2104 2248 2367 2529 2592 3156 3372 4208 4496 4734 5058 5184 6312 6744 7101 7587 8416 8992 9468 10116 12624 13488 14202 15174 16832 17984 18936 20232 21303 22761 25248 26976 28404 30348 37872 40464 42606 45522 50496 53952 56808 60696 73903 75744 80928 85212 91044 113616 121392 147806 151488 161856 170424 182088 221709 227232 242784 295612 340848 364176 443418 454464 485568 591224 665127 681696 728352 886836 1182448 1330254 1363392 1456704 1773672 1995381 2364896 2660508 3547344 3990762 4729792 5321016 5986143 7094688 7981524 10642032 11972286 14189376 15963048 21284064 23944572 31926096 42568128 47889144 63852192 95778288 127704384 191556576 383113152