Search a number
-
+
57046836 = 223711107577
BaseRepresentation
bin1101100110011…
…1011100110100
310222100021112210
43121213130310
5104100444321
65354413420
71261614210
oct331473464
9128307483
1057046836
112a224150
1217131270
13ba84a32
14780d940
15501cb76
hex3667734

57046836 has 96 divisors (see below), whose sum is σ = 167795712. Its totient is φ = 14653440.

The previous prime is 57046823. The next prime is 57046837. The reversal of 57046836 is 63864075.

It is a super-2 number, since 2×570468362 = 6508682995221792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57046794 and 57046803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57046837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98580 + ... + 99156.

It is an arithmetic number, because the mean of its divisors is an integer number (1747872).

Almost surely, 257046836 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 57046836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83897856).

57046836 is an abundant number, since it is smaller than the sum of its proper divisors (110748876).

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

57046836 is a wasteful number, since it uses less digits than its factorization.

57046836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 57046836 is about 7552.9355882332. The cubic root of 57046836 is about 384.9554926905.

The spelling of 57046836 in words is "fifty-seven million, forty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 577 642 749 924 1154 1177 1284 1498 1731 2247 2308 2354 2996 3462 3531 4039 4494 4708 6347 6924 7062 8078 8239 8988 12117 12694 14124 16156 16478 19041 24234 24717 25388 32956 38082 44429 48468 49434 61739 76164 88858 98868 123478 133287 177716 185217 246956 266574 370434 432173 533148 679129 740868 864346 1296519 1358258 1728692 2037387 2593038 2716516 4074774 4753903 5186076 8149548 9507806 14261709 19015612 28523418 57046836