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5504074400 = 2552112392617
BaseRepresentation
bin1010010000001000…
…11000001010100000
3112012120212221122102
411020010120022200
542233020340100
62310055225532
7253252601066
oct51004301240
915176787572
105504074400
1123749a7620
1210973782a8
1369940c376
143a2dd8036
15223326cd5
hex1481182a0

5504074400 has 144 divisors (see below), whose sum is σ = 14725307520. Its totient is φ = 1992345600.

The previous prime is 5504074393. The next prime is 5504074417. The reversal of 5504074400 is 44704055.

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, 2101892 + ... + 2104508.

It is an arithmetic number, because the mean of its divisors is an integer number (102259080).

Almost surely, 25504074400 is an apocalyptic number.

5504074400 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 5504074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362653760).

5504074400 is an abundant number, since it is smaller than the sum of its proper divisors (9221233120).

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

5504074400 is a wasteful number, since it uses less digits than its factorization.

5504074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 5504074400 is about 74189.4493846666. The cubic root of 5504074400 is about 1765.6099404151.

Adding to 5504074400 its reverse (44704055), we get a palindrome (5548778455).

The spelling of 5504074400 in words is "five billion, five hundred four million, seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 239 275 352 400 440 478 550 800 880 956 1100 1195 1760 1912 2200 2390 2617 2629 3824 4400 4780 5234 5258 5975 7648 8800 9560 10468 10516 11950 13085 13145 19120 20936 21032 23900 26170 26290 28787 38240 41872 42064 47800 52340 52580 57574 65425 65725 83744 84128 95600 104680 105160 115148 130850 131450 143935 191200 209360 210320 230296 261700 262900 287870 418720 420640 460592 523400 525800 575740 625463 719675 921184 1046800 1051600 1151480 1250926 1439350 2093600 2103200 2302960 2501852 2878700 3127315 4605920 5003704 5757400 6254630 6880093 10007408 11514800 12509260 13760186 15636575 20014816 23029600 25018520 27520372 31273150 34400465 50037040 55040744 62546300 68800930 100074080 110081488 125092600 137601860 172002325 220162976 250185200 275203720 344004650 500370400 550407440 688009300 1100814880 1376018600 2752037200 5504074400