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1052994816 = 283516927
BaseRepresentation
bin111110110000110…
…110110100000000
32201101101200100000
4332300312310000
54124031313231
6252253200000
735044210506
oct7660666400
92641350300
101052994816
114a042a655
12254790000
1313a203773
149dbc4676
156269d6e6
hex3ec36d00

1052994816 has 108 divisors (see below), whose sum is σ = 3148675712. Its totient is φ = 350977536.

The previous prime is 1052994799. The next prime is 1052994821. The reversal of 1052994816 is 6184992501.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×10529948162 = 2217596165045747712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53745 + ... + 70671.

Almost surely, 21052994816 is an apocalyptic number.

1052994816 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 1052994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574337856).

1052994816 is an abundant number, since it is smaller than the sum of its proper divisors (2095680896).

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

1052994816 is an frugal number, since it uses more digits than its factorization.

1052994816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16958 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1052994816 is about 32449.8816022493. The cubic root of 1052994816 is about 1017.3617633820.

The spelling of 1052994816 in words is "one billion, fifty-two million, nine hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 16927 20736 31104 33854 50781 62208 67708 101562 135416 152343 203124 270832 304686 406248 457029 541664 609372 812496 914058 1083328 1218744 1371087 1624992 1828116 2166656 2437488 2742174 3249984 3656232 4113261 4333312 4874976 5484348 6499968 7312464 8226522 9749952 10968696 12999936 14624928 16453044 19499904 21937392 29249856 32906088 38999808 43874784 58499712 65812176 87749568 116999424 131624352 175499136 263248704 350998272 526497408 1052994816