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5591884400 = 2452291972447
BaseRepresentation
bin1010011010100110…
…10110001001110000
3112102201010011022122
411031103112021300
542423010300100
62322513253412
7255400142654
oct51523261160
915381104278
105591884400
11240a522573
121100864268
136b167554b
143b0934a64
1522adbe985
hex14d4d6270

5591884400 has 120 divisors (see below), whose sum is σ = 13974016320. Its totient is φ = 2147783680.

The previous prime is 5591884393. The next prime is 5591884423. The reversal of 5591884400 is 44881955.

It is a super-2 number, since 2×55918844002 = 62538342285926720000, 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 23 ways as a sum of consecutive naturals, for example, 2283977 + ... + 2286423.

It is an arithmetic number, because the mean of its divisors is an integer number (116450136).

Almost surely, 25591884400 is an apocalyptic number.

5591884400 is a gapful number since it is divisible by the number (50) 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 5591884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987008160).

5591884400 is an abundant number, since it is smaller than the sum of its proper divisors (8382131920).

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

5591884400 is a wasteful number, since it uses less digits than its factorization.

5591884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 5591884400 is about 74778.9034420805. The cubic root of 5591884400 is about 1774.9497466431.

The spelling of 5591884400 in words is "five billion, five hundred ninety-one million, eight hundred eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 197 200 232 290 394 400 464 580 725 788 985 1160 1450 1576 1970 2320 2447 2900 3152 3940 4894 4925 5713 5800 7880 9788 9850 11426 11600 12235 15760 19576 19700 22852 24470 28565 39152 39400 45704 48940 57130 61175 70963 78800 91408 97880 114260 122350 141926 142825 195760 228520 244700 283852 285650 354815 457040 482059 489400 567704 571300 709630 964118 978800 1135408 1142600 1419260 1774075 1928236 2285200 2410295 2838520 3548150 3856472 4820590 5677040 7096300 7712944 9641180 12051475 13979711 14192600 19282360 24102950 27959422 28385200 38564720 48205900 55918844 69898555 96411800 111837688 139797110 192823600 223675376 279594220 349492775 559188440 698985550 1118376880 1397971100 2795942200 5591884400