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1045702912 = 28172331337
BaseRepresentation
bin111110010101000…
…010100100000000
32200212200012201111
4332111002210000
54120144443122
6251433013104
734625220352
oct7625024400
92625605644
101045702912
114972aa091
12252254194
1313884c727
149cc470d2
1561c0cd77
hex3e542900

1045702912 has 144 divisors (see below), whose sum is σ = 2387653632. Its totient is φ = 454164480.

The previous prime is 1045702907. The next prime is 1045702921. The reversal of 1045702912 is 2192075401.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3102808 + ... + 3103144.

It is an arithmetic number, because the mean of its divisors is an integer number (16580928).

Almost surely, 21045702912 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 1045702912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193826816).

1045702912 is an abundant number, since it is smaller than the sum of its proper divisors (1341950720).

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

1045702912 is a wasteful number, since it uses less digits than its factorization.

1045702912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1045702912 is about 32337.3300072842. The cubic root of 1045702912 is about 1015.0079389803.

The spelling of 1045702912 in words is "one billion, forty-five million, seven hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 23 31 32 34 46 62 64 68 92 124 128 136 184 248 256 272 337 368 391 496 527 544 674 713 736 782 992 1054 1088 1348 1426 1472 1564 1984 2108 2176 2696 2852 2944 3128 3968 4216 4352 5392 5704 5729 5888 6256 7751 7936 8432 10447 10784 11408 11458 12121 12512 15502 16864 20894 21568 22816 22916 24242 25024 31004 33728 41788 43136 45632 45832 48484 50048 62008 67456 83576 86272 91264 91664 96968 100096 124016 131767 134912 167152 177599 182528 183328 193936 240281 248032 263534 334304 355198 366656 387872 480562 496064 527068 668608 710396 733312 775744 961124 992128 1054136 1337216 1420792 1466624 1551488 1922248 1984256 2108272 2674432 2841584 3102976 3844496 4084777 4216544 5683168 7688992 8169554 8433088 11366336 15377984 16339108 16866176 22732672 30755968 32678216 33732352 45465344 61511936 65356432 130712864 261425728 522851456 1045702912