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554051820 = 223572199947
BaseRepresentation
bin100001000001100…
…010100011101100
31102121112202012210
4201001202203230
52113314124240
6130551130420
716505235300
oct4101424354
91377482183
10554051820
11264825373
12135673a10
138aa2b81a
1453825d00
1533993780
hex210628ec

554051820 has 144 divisors (see below), whose sum is σ = 1815609600. Its totient is φ = 125870976.

The previous prime is 554051783. The next prime is 554051863. The reversal of 554051820 is 28150455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584587 + ... + 585533.

It is an arithmetic number, because the mean of its divisors is an integer number (12608400).

Almost surely, 2554051820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554051820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907804800).

554051820 is an abundant number, since it is smaller than the sum of its proper divisors (1261557780).

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

554051820 is a wasteful number, since it uses less digits than its factorization.

554051820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 554051820 is about 23538.3053765559. The cubic root of 554051820 is about 821.3283150807.

The spelling of 554051820 in words is "five hundred fifty-four million, fifty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 199 210 245 294 398 420 490 588 597 735 796 947 980 995 1194 1393 1470 1894 1990 2388 2786 2841 2940 2985 3788 3980 4179 4735 5572 5682 5970 6629 6965 8358 9470 9751 11364 11940 13258 13930 14205 16716 18940 19502 19887 20895 26516 27860 28410 29253 33145 39004 39774 41790 46403 48755 56820 58506 66290 79548 83580 92806 97510 99435 117012 132580 139209 146265 185612 188453 195020 198870 232015 278418 292530 376906 397740 464030 556836 565359 585060 696045 753812 928060 942265 1130718 1319171 1392090 1884530 2261436 2638342 2784180 2826795 3769060 3957513 5276684 5653590 6595855 7915026 9234197 11307180 13191710 15830052 18468394 19787565 26383420 27702591 36936788 39575130 46170985 55405182 79150260 92341970 110810364 138512955 184683940 277025910 554051820