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381739952 = 24113123761
BaseRepresentation
bin10110110000001…
…110001110110000
3222121022101202202
4112300032032300
51240211134302
6101514002332
712313510316
oct2660161660
9877271682
10381739952
11186533970
12a7a163a8
136111a139
14389b00b6
15237a8202
hex16c0e3b0

381739952 has 120 divisors (see below), whose sum is σ = 870296976. Its totient is φ = 160704000.

The previous prime is 381739931. The next prime is 381739961. The reversal of 381739952 is 259937183.

It is a junction number, because it is equal to n+sod(n) for n = 381739897 and 381739906.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6258002 + ... + 6258062.

Almost surely, 2381739952 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 381739952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435148488).

381739952 is an abundant number, since it is smaller than the sum of its proper divisors (488557024).

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

381739952 is a wasteful number, since it uses less digits than its factorization.

381739952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 381739952 is about 19538.1665465314. The cubic root of 381739952 is about 725.4194652288.

The spelling of 381739952 in words is "three hundred eighty-one million, seven hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 37 44 61 62 74 88 122 124 148 176 244 248 296 341 407 488 496 592 671 682 814 961 976 1147 1342 1364 1628 1891 1922 2257 2294 2684 2728 3256 3782 3844 4514 4588 5368 5456 6512 7564 7688 9028 9176 10571 10736 12617 15128 15376 18056 18352 20801 21142 24827 25234 30256 35557 36112 41602 42284 49654 50468 58621 69967 71114 83204 84568 99308 100936 117242 139934 142228 166408 169136 198616 201872 234484 279868 284456 332816 391127 397232 468968 559736 568912 644831 769637 782254 937936 1119472 1289662 1539274 1564508 2168977 2579324 3078548 3129016 4337954 5158648 6157096 6258032 8675908 10317296 12314192 17351816 23858747 34703632 47717494 95434988 190869976 381739952