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381478656 = 28313192011
BaseRepresentation
bin10110101111001…
…110011100000000
3222120211010100010
4112233032130000
51240124304111
6101504224520
712311341446
oct2657163400
9876733303
10381478656
11186375619
12a790b140
1361058220
1438942b96
1523755aa6
hex16bce700

381478656 has 144 divisors (see below), whose sum is σ = 1151507840. Its totient is φ = 111144960.

The previous prime is 381478639. The next prime is 381478661. The reversal of 381478656 is 656874183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188691 + ... + 190701.

Almost surely, 2381478656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575753920).

381478656 is an abundant number, since it is smaller than the sum of its proper divisors (770029184).

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

381478656 is a wasteful number, since it uses less digits than its factorization.

381478656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2048 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 381478656 is about 19531.4785922623. The cubic root of 381478656 is about 725.2539140745.

The spelling of 381478656 in words is "three hundred eighty-one million, four hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2011 2432 2496 2964 3328 3648 3952 4022 4864 4992 5928 6033 7296 7904 8044 9984 11856 12066 14592 15808 16088 23712 24132 26143 31616 32176 38209 47424 48264 52286 63232 64352 76418 78429 94848 96528 104572 114627 128704 152836 156858 189696 193056 209144 229254 257408 305672 313716 386112 418288 458508 496717 514816 611344 627432 772224 836576 917016 993434 1222688 1254864 1490151 1544448 1673152 1834032 1986868 2445376 2509728 2980302 3346304 3668064 3973736 4890752 5019456 5960604 6692608 7336128 7947472 9781504 10038912 11921208 14672256 15894944 20077824 23842416 29344512 31789888 47684832 63579776 95369664 127159552 190739328 381478656