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1382471376 = 2431113215493
BaseRepresentation
bin101001001100110…
…1101011011010000
310120100100211012120
41102121231123100
510312403041001
6345103054240
746154545536
oct12231553320
93510324176
101382471376
1164a407230
12326ba1380
13190552200
14d186c156
1581581236
hex5266d6d0

1382471376 has 120 divisors (see below), whose sum is σ = 4219078176. Its totient is φ = 386680320.

The previous prime is 1382471359. The next prime is 1382471413. The reversal of 1382471376 is 6731742831.

It is a super-2 number, since 2×13824713762 = 3822454210918666752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81486 + ... + 96978.

Almost surely, 21382471376 is an apocalyptic number.

1382471376 is a gapful number since it is divisible by the number (16) 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 1382471376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109539088).

1382471376 is an abundant number, since it is smaller than the sum of its proper divisors (2836606800).

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

1382471376 is a wasteful number, since it uses less digits than its factorization.

1382471376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15541 (or 15522 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 1382471376 is about 37181.5999655744. The cubic root of 1382471376 is about 1114.0004920777. Note that the first 3 decimals are identical.

The spelling of 1382471376 in words is "one billion, three hundred eighty-two million, four hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1716 1859 2028 2288 2704 3432 3718 4056 5577 6864 7436 8112 11154 14872 15493 22308 29744 30986 44616 46479 61972 89232 92958 123944 170423 185916 201409 247888 340846 371832 402818 511269 604227 681692 743664 805636 1022538 1208454 1363384 1611272 2045076 2215499 2416908 2618317 2726768 3222544 4090152 4430998 4833816 5236634 6646497 7854951 8180304 8861996 9667632 10473268 13292994 15709902 17723992 20946536 26585988 28801487 31419804 35447984 41893072 53171976 57602974 62839608 86404461 106343952 115205948 125679216 172808922 230411896 345617844 460823792 691235688 1382471376