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1055248896 = 29313431229
BaseRepresentation
bin111110111001011…
…101001000000000
32201112122012100110
4332321131020000
54130120431041
6252413351320
735102316252
oct7671351000
92645565313
101055248896
114a172a129
12255498540
1313a812740
14a020dcd2
1562996516
hex3ee5d200

1055248896 has 160 divisors (see below), whose sum is σ = 3100426560. Its totient is φ = 316882944.

The previous prime is 1055248867. The next prime is 1055248913. The reversal of 1055248896 is 6988425501.

It is a super-2 number, since 2×10552488962 = 2227100465018437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 858010 + ... + 859238.

It is an arithmetic number, because the mean of its divisors is an integer number (19377666).

Almost surely, 21055248896 is an apocalyptic number.

1055248896 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 1055248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550213280).

1055248896 is an abundant number, since it is smaller than the sum of its proper divisors (2045177664).

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

1055248896 is a wasteful number, since it uses less digits than its factorization.

1055248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 1055248896 is about 32484.5947488960. The cubic root of 1055248896 is about 1018.0871801958.

The spelling of 1055248896 in words is "one billion, fifty-five million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 512 516 559 624 688 768 832 1032 1118 1229 1248 1376 1536 1664 1677 2064 2236 2458 2496 2752 3328 3354 3687 4128 4472 4916 4992 5504 6656 6708 7374 8256 8944 9832 9984 11008 13416 14748 15977 16512 17888 19664 19968 22016 26832 29496 31954 33024 35776 39328 47931 52847 53664 58992 63908 66048 71552 78656 95862 105694 107328 117984 127816 143104 157312 158541 191724 211388 214656 235968 255632 286208 314624 317082 383448 422776 429312 471936 511264 629248 634164 687011 766896 845552 858624 943872 1022528 1268328 1374022 1533792 1691104 1887744 2045056 2061033 2536656 2748044 3067584 3382208 4090112 4122066 5073312 5496088 6135168 6764416 8180224 8244132 10146624 10992176 12270336 13528832 16488264 20293248 21984352 24540672 27057664 32976528 40586496 43968704 65953056 81172992 87937408 131906112 175874816 263812224 351749632 527624448 1055248896