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1046042112 = 2931973491
BaseRepresentation
bin111110010110010…
…101011000000000
32200220022110000110
4332112111120000
54120241321422
6251444151320
734631132313
oct7626253000
92626273013
101046042112
11497510a15
12252398540
1313893ac3b
149ccd497a
1561c7860c
hex3e595600

1046042112 has 160 divisors (see below), whose sum is σ = 2979630720. Its totient is φ = 325140480.

The previous prime is 1046042099. The next prime is 1046042141. The reversal of 1046042112 is 2112406401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130187 + ... + 2130677.

It is an arithmetic number, because the mean of its divisors is an integer number (18622692).

Almost surely, 21046042112 is an apocalyptic number.

1046042112 is a gapful number since it is divisible by the number (12) 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 1046042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489815360).

1046042112 is an abundant number, since it is smaller than the sum of its proper divisors (1933588608).

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

1046042112 is an equidigital number, since it uses as much as digits as its factorization.

1046042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1046042112 is about 32342.5742945734. The cubic root of 1046042112 is about 1015.1176748876.

Adding to 1046042112 its reverse (2112406401), we get a palindrome (3158448513).

The spelling of 1046042112 in words is "one billion, forty-six million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 73 76 96 114 128 146 152 192 219 228 256 292 304 384 438 456 491 512 584 608 768 876 912 982 1168 1216 1387 1473 1536 1752 1824 1964 2336 2432 2774 2946 3504 3648 3928 4161 4672 4864 5548 5892 7008 7296 7856 8322 9329 9344 9728 11096 11784 14016 14592 15712 16644 18658 18688 22192 23568 27987 28032 29184 31424 33288 35843 37316 37376 44384 47136 55974 56064 62848 66576 71686 74632 88768 94272 107529 111948 112128 125696 133152 143372 149264 177536 188544 215058 223896 251392 266304 286744 298528 355072 377088 430116 447792 532608 573488 597056 681017 710144 754176 860232 895584 1065216 1146976 1194112 1362034 1720464 1791168 2043051 2130432 2293952 2388224 2724068 3440928 3582336 4086102 4587904 4776448 5448136 6881856 7164672 8172204 9175808 10896272 13763712 14329344 16344408 18351616 21792544 27527424 32688816 43585088 55054848 65377632 87170176 130755264 174340352 261510528 348680704 523021056 1046042112