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47257392 = 24371331349
BaseRepresentation
bin1011010001000…
…1011100110000
310021220220221210
42310101130300
544044214032
64404520120
71112452440
oct264213460
9107826853
1047257392
11247481a6
12139b0040
139a37c70
1463c2120
1542372cc
hex2d11730

47257392 has 160 divisors (see below), whose sum is σ = 155545600. Its totient is φ = 12026880.

The previous prime is 47257381. The next prime is 47257393. The reversal of 47257392 is 29375274.

It is a super-2 number, since 2×472573922 = 4466522197283328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47257392.

It is not an unprimeable number, because it can be changed into a prime (47257393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135234 + ... + 135582.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 247257392 is an apocalyptic number.

47257392 is a gapful number since it is divisible by the number (42) 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 47257392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77772800).

47257392 is an abundant number, since it is smaller than the sum of its proper divisors (108288208).

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

47257392 is a wasteful number, since it uses less digits than its factorization.

47257392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 47257392 is about 6874.4012102873. The cubic root of 47257392 is about 361.5401913116.

The spelling of 47257392 in words is "forty-seven million, two hundred fifty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 349 364 372 403 434 496 546 624 651 698 728 744 806 868 1047 1092 1209 1302 1396 1456 1488 1612 1736 2094 2184 2418 2443 2604 2792 2821 3224 3472 4188 4368 4537 4836 4886 5208 5584 5642 6448 7329 8376 8463 9074 9672 9772 10416 10819 11284 13611 14658 16752 16926 18148 19344 19544 21638 22568 27222 29316 31759 32457 33852 36296 39088 43276 45136 54444 58632 63518 64914 67704 72592 75733 86552 95277 108888 117264 127036 129828 135408 140647 151466 173104 190554 217776 227199 254072 259656 281294 302932 381108 421941 454398 508144 519312 562588 605864 762216 843882 908796 984529 1125176 1211728 1524432 1687764 1817592 1969058 2250352 2953587 3375528 3635184 3938116 5907174 6751056 7876232 11814348 15752464 23628696 47257392