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380827392 = 2831161739
BaseRepresentation
bin10110101100101…
…111011100000000
3222112121000222020
4112230233130000
51234442434032
6101442241440
712302656641
oct2654573400
9875530866
10380827392
11185a70290
12a7656280
1360b8a96a
14388136c8
1523677b2c
hex16b2f700

380827392 has 144 divisors (see below), whose sum is σ = 1125344640. Its totient is φ = 113356800.

The previous prime is 380827339. The next prime is 380827409. The reversal of 380827392 is 293728083.

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, 514959 + ... + 515697.

Almost surely, 2380827392 is an apocalyptic number.

380827392 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 380827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562672320).

380827392 is an abundant number, since it is smaller than the sum of its proper divisors (744517248).

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

380827392 is a wasteful number, since it uses less digits than its factorization.

380827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 380827392 is about 19514.7993071925. The cubic root of 380827392 is about 724.8409588518.

The spelling of 380827392 in words is "three hundred eighty million, eight hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 256 264 352 366 384 488 528 671 704 732 739 768 976 1056 1342 1408 1464 1478 1952 2013 2112 2217 2684 2816 2928 2956 3904 4026 4224 4434 5368 5856 5912 7808 8052 8129 8448 8868 10736 11712 11824 15616 16104 16258 17736 21472 23424 23648 24387 32208 32516 35472 42944 45079 46848 47296 48774 64416 65032 70944 85888 90158 94592 97548 128832 130064 135237 141888 171776 180316 189184 195096 257664 260128 270474 283776 360632 390192 495869 515328 520256 540948 567552 721264 780384 991738 1040512 1081896 1442528 1487607 1560768 1983476 2081024 2163792 2885056 2975214 3121536 3966952 4327584 5770112 5950428 6243072 7933904 8655168 11540224 11900856 15867808 17310336 23801712 31735616 34620672 47603424 63471232 95206848 126942464 190413696 380827392