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1052908440 = 233525734141
BaseRepresentation
bin111110110000100…
…001101110011000
32201101020021211220
4332300201232120
54124021032230
6252251252040
735043400623
oct7660415630
92641207756
101052908440
114a0380771
1225474a020
1313a1a335c
149dba0dba
1562682d10
hex3ec21b98

1052908440 has 64 divisors (see below), whose sum is σ = 3171108960. Its totient is φ = 279674880.

The previous prime is 1052908393. The next prime is 1052908453. The reversal of 1052908440 is 448092501.

1052908440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10529084402 = 2217232366046467200, 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 15 ways as a sum of consecutive naturals, for example, 13770 + ... + 47910.

Almost surely, 21052908440 is an apocalyptic number.

1052908440 is a gapful number since it is divisible by the number (10) 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 1052908440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585554480).

1052908440 is an abundant number, since it is smaller than the sum of its proper divisors (2118200520).

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

1052908440 is a wasteful number, since it uses less digits than its factorization.

1052908440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34412 (or 34408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1052908440 is about 32448.5506610080. The cubic root of 1052908440 is about 1017.3339449347. Note that the first 3 decimals are identical.

The spelling of 1052908440 in words is "one billion, fifty-two million, nine hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 15420 30840 34141 68282 102423 136564 170705 204846 273128 341410 409692 512115 682820 819384 1024230 1365640 2048460 4096920 8774237 17548474 26322711 35096948 43871185 52645422 70193896 87742370 105290844 131613555 175484740 210581688 263227110 350969480 526454220 1052908440