Search a number
-
+
1457256696 = 233716751941
BaseRepresentation
bin101011011011011…
…1111100011111000
310202120002022101020
41112312333203320
510441024203241
6400334022440
751053322540
oct12666774370
93676068336
101457256696
11688646585
12348047a20
131a2ba7b8c
14db778320
1587e04b66
hex56dbf8f8

1457256696 has 64 divisors (see below), whose sum is σ = 4188602880. Its totient is φ = 413857920.

The previous prime is 1457256653. The next prime is 1457256751. The reversal of 1457256696 is 6966527541.

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, 2086 + ... + 54026.

It is an arithmetic number, because the mean of its divisors is an integer number (65446920).

Almost surely, 21457256696 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 1457256696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094301440).

1457256696 is an abundant number, since it is smaller than the sum of its proper divisors (2731346184).

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

1457256696 is a wasteful number, since it uses less digits than its factorization.

1457256696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52124 (or 52120 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 1457256696 is about 38174.0316969534. The cubic root of 1457256696 is about 1133.7362157803.

The spelling of 1457256696 in words is "one billion, four hundred fifty-seven million, two hundred fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 4008 4676 7014 9352 14028 28056 51941 103882 155823 207764 311646 363587 415528 623292 727174 1090761 1246584 1454348 2181522 2908696 4363044 8674147 8726088 17348294 26022441 34696588 52044882 60719029 69393176 104089764 121438058 182157087 208179528 242876116 364314174 485752232 728628348 1457256696