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1042937056 = 25719372179
BaseRepresentation
bin111110001010011…
…111010011100000
32200200110200200101
4332022133103200
54113442441211
6251253432144
734562550550
oct7612372340
92620420611
101042937056
11495790057
1225133b654
131380c1825
149c727160
15618635c1
hex3e29f4e0

1042937056 has 144 divisors (see below), whose sum is σ = 2552860800. Its totient is φ = 409701888.

The previous prime is 1042937039. The next prime is 1042937059. The reversal of 1042937056 is 6507392401.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042937059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5826375 + ... + 5826553.

It is an arithmetic number, because the mean of its divisors is an integer number (17728200).

Almost surely, 21042937056 is an apocalyptic number.

1042937056 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 1042937056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276430400).

1042937056 is an abundant number, since it is smaller than the sum of its proper divisors (1509923744).

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

1042937056 is a wasteful number, since it uses less digits than its factorization.

1042937056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 1042937056 is about 32294.5360084334. The cubic root of 1042937056 is about 1014.1122592913.

The spelling of 1042937056 in words is "one billion, forty-two million, nine hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 74 76 112 133 148 152 179 224 259 266 296 304 358 518 532 592 608 703 716 1036 1064 1184 1253 1369 1406 1432 2072 2128 2506 2738 2812 2864 3401 4144 4256 4921 5012 5476 5624 5728 6623 6802 8288 9583 9842 10024 10952 11248 13246 13604 19166 19684 20048 21904 22496 23807 26011 26492 27208 38332 39368 40096 43808 46361 47614 52022 52984 54416 76664 78736 92722 95228 104044 105968 108832 125837 153328 157472 182077 185444 190456 208088 211936 245051 251674 306656 364154 370888 380912 416176 490102 503348 728308 741776 761824 832352 880859 980204 1006696 1456616 1483552 1715357 1761718 1960408 2013392 2913232 3430714 3523436 3920816 4026784 4655969 5826464 6861428 7046872 7841632 9311938 13722856 14093744 18623876 27445712 28187488 32591783 37247752 54891424 65183566 74495504 130367132 148991008 260734264 521468528 1042937056