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1055276544 = 293732003
BaseRepresentation
bin111110111001100…
…011111000000000
32201112200121021110
4332321203320000
54130122322134
6252414123320
735102463000
oct7671437000
92645617243
101055276544
114a1748983
122554b0540
1313a8221ba
14a021a000
156299e7e9
hex3ee63e00

1055276544 has 160 divisors (see below), whose sum is σ = 3280147200. Its totient is φ = 301357056.

The previous prime is 1055276531. The next prime is 1055276561. The reversal of 1055276544 is 4456725501.

1055276544 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 2×10552765442 = 2227217168633167872, 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, 525847 + ... + 527849.

It is an arithmetic number, because the mean of its divisors is an integer number (20500920).

Almost surely, 21055276544 is an apocalyptic number.

1055276544 is a gapful number since it is divisible by the number (14) 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 1055276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640073600).

1055276544 is an abundant number, since it is smaller than the sum of its proper divisors (2224870656).

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

1055276544 is an frugal number, since it uses more digits than its factorization.

1055276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 1055276544 is about 32485.0203016714. The cubic root of 1055276544 is about 1018.0960715669.

The spelling of 1055276544 in words is "one billion, fifty-five million, two hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1029 1176 1344 1372 1536 1568 1792 2003 2058 2352 2688 2744 3136 3584 4006 4116 4704 5376 5488 6009 6272 8012 8232 9408 10752 10976 12018 12544 14021 16024 16464 18816 21952 24036 25088 28042 32048 32928 37632 42063 43904 48072 56084 64096 65856 75264 84126 87808 96144 98147 112168 128192 131712 168252 175616 192288 196294 224336 256384 263424 294441 336504 384576 392588 448672 512768 526848 588882 673008 687029 769152 785176 897344 1025536 1177764 1346016 1374058 1538304 1570352 1794688 2061087 2355528 2692032 2748116 3076608 3140704 3589376 4122174 4711056 5384064 5496232 6281408 7178752 8244348 9422112 10768128 10992464 12562816 16488696 18844224 21536256 21984928 25125632 32977392 37688448 43969856 50251264 65954784 75376896 87939712 131909568 150753792 175879424 263819136 351758848 527638272 1055276544