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553768704 = 2833113709
BaseRepresentation
bin100001000000011…
…101011100000000
31102121000100212000
4201000131130000
52113231044304
6130541104000
716502646006
oct4100353400
91377010760
10553768704
11264651695
12135558000
138a95c9b8
1453790a76
1533939939
hex2101d700

553768704 has 144 divisors (see below), whose sum is σ = 1654413600. Its totient is φ = 182697984.

The previous prime is 553768687. The next prime is 553768739. The reversal of 553768704 is 407867355.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 553768704.

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, 780702 + ... + 781410.

Almost surely, 2553768704 is an apocalyptic number.

553768704 is a gapful number since it is divisible by the number (54) 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 553768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827206800).

553768704 is an abundant number, since it is smaller than the sum of its proper divisors (1100644896).

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

553768704 is a wasteful number, since it uses less digits than its factorization.

553768704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 553768704 is about 23532.2906662314. The cubic root of 553768704 is about 821.1883938692.

The spelling of 553768704 in words is "five hundred fifty-three million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 576 678 709 768 864 904 1017 1152 1356 1418 1728 1808 2034 2127 2304 2712 2836 3051 3456 3616 4068 4254 5424 5672 6102 6381 6912 7232 8136 8508 10848 11344 12204 12762 14464 16272 17016 19143 21696 22688 24408 25524 28928 32544 34032 38286 43392 45376 48816 51048 65088 68064 76572 80117 86784 90752 97632 102096 130176 136128 153144 160234 181504 195264 204192 240351 260352 272256 306288 320468 390528 408384 480702 544512 612576 640936 721053 781056 816768 961404 1225152 1281872 1442106 1633536 1922808 2163159 2450304 2563744 2884212 3845616 4326318 4900608 5127488 5768424 7691232 8652636 10254976 11536848 15382464 17305272 20509952 23073696 30764928 34610544 46147392 61529856 69221088 92294784 138442176 184589568 276884352 553768704