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383393472 = 26371125933
BaseRepresentation
bin10110110110100…
…001111011000000
3222201102101222020
4112312201323000
51241122042342
6102013241440
712333535140
oct2666417300
9881371866
10383393472
11187463210
12a8493280
1361578957
1438cc0920
15239d30ec
hex16da1ec0

383393472 has 112 divisors (see below), whose sum is σ = 1264749312. Its totient is φ = 99578880.

The previous prime is 383393471. The next prime is 383393473. The reversal of 383393472 is 274393383.

It is an interprime number because it is at equal distance from previous prime (383393471) and next prime (383393473).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (383393471) 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, 1818 + ... + 27750.

Almost surely, 2383393472 is an apocalyptic number.

383393472 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 383393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632374656).

383393472 is an abundant number, since it is smaller than the sum of its proper divisors (881355840).

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

383393472 is a wasteful number, since it uses less digits than its factorization.

383393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966 (or 25956 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 383393472 is about 19580.4359502029. The cubic root of 383393472 is about 726.4653498751.

The spelling of 383393472 in words is "three hundred eighty-three million, three hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 25933 51866 77799 103732 155598 181531 207464 285263 311196 363062 414928 544593 570526 622392 726124 829856 855789 1089186 1141052 1244784 1452248 1659712 1711578 1996841 2178372 2282104 2489568 2904496 3423156 3993682 4356744 4564208 4979136 5808992 5990523 6846312 7987364 8713488 9128416 11617984 11981046 13692624 15974728 17426976 18256832 23962092 27385248 31949456 34853952 47924184 54770496 63898912 95848368 127797824 191696736 383393472