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1056052480 = 2857432741
BaseRepresentation
bin111110111100100…
…001010100000000
32201121011000122211
4332330201110000
54130322134410
6252442511504
735112204130
oct7674412400
92647130584
101056052480
114a212894a
12255805594
1313aa34432
14a037cac0
1562aa468a
hex3ef21500

1056052480 has 144 divisors (see below), whose sum is σ = 2959254144. Its totient is φ = 353525760.

The previous prime is 1056052469. The next prime is 1056052489. The reversal of 1056052480 is 842506501.

It is a super-2 number, since 2×10560524802 = 2230493681028300800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056052489) by changing a digit.

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, 383910 + ... + 386650.

It is an arithmetic number, because the mean of its divisors is an integer number (20550376).

Almost surely, 21056052480 is an apocalyptic number.

1056052480 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 1056052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479627072).

1056052480 is an abundant number, since it is smaller than the sum of its proper divisors (1903201664).

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

1056052480 is an equidigital number, since it uses as much as digits as its factorization.

1056052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 1056052480 is about 32496.9610886926. The cubic root of 1056052480 is about 1018.3455429355.

Adding to 1056052480 its reverse (842506501), we get a palindrome (1898558981).

The spelling of 1056052480 in words is "one billion, fifty-six million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 430 448 560 602 640 688 860 896 1120 1204 1280 1376 1505 1720 1792 2240 2408 2741 2752 3010 3440 4480 4816 5482 5504 6020 6880 8960 9632 10964 11008 12040 13705 13760 19187 19264 21928 24080 27410 27520 38374 38528 43856 48160 54820 55040 76748 77056 87712 95935 96320 109640 117863 153496 175424 191870 192640 219280 235726 306992 350848 383740 385280 438560 471452 589315 613984 701696 767480 825041 877120 942904 1178630 1227968 1534960 1650082 1754240 1885808 2357260 2455936 3069920 3300164 3508480 3771616 4125205 4714520 4911872 6139840 6600328 7543232 8250410 9429040 12279680 13200656 15086464 16500820 18858080 24559360 26401312 30172928 33001640 37716160 52802624 66003280 75432320 105605248 132006560 150864640 211210496 264013120 528026240 1056052480