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554056452 = 2232174171311
BaseRepresentation
bin100001000001100…
…011101100000100
31102121112222120100
4201001203230010
52113314301302
6130551204100
716505254635
oct4101435404
91377488510
10554056452
112648288a4
12135676630
138aa30971
145382788c
1533994d1c
hex21063b04

554056452 has 144 divisors (see below), whose sum is σ = 1545433344. Its totient is φ = 166656000.

The previous prime is 554056441. The next prime is 554056471. The reversal of 554056452 is 254650455.

554056452 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 5 + 645 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781377 + ... + 1781687.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2554056452 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 554056452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

554056452 is an abundant number, since it is smaller than the sum of its proper divisors (991376892).

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

554056452 is a wasteful number, since it uses less digits than its factorization.

554056452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 554056452 is about 23538.4037691599. The cubic root of 554056452 is about 821.3306039052.

The spelling of 554056452 in words is "five hundred fifty-four million, fifty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 71 82 102 123 142 153 164 204 213 246 284 306 311 369 426 492 612 622 639 697 738 852 933 1207 1244 1278 1394 1476 1866 2091 2414 2556 2788 2799 2911 3621 3732 4182 4828 5287 5598 5822 6273 7242 8364 8733 10574 10863 11196 11644 12546 12751 14484 15861 17466 21148 21726 22081 25092 25502 26199 31722 34932 38253 43452 44162 47583 49487 51004 52398 63444 66243 76506 88324 95166 98974 104796 114759 132486 148461 153012 190332 197948 198729 216767 229518 264972 296922 375377 397458 433534 445383 459036 593844 650301 750754 794916 867068 890766 905321 1126131 1300602 1501508 1781532 1810642 1950903 2252262 2601204 2715963 3378393 3621284 3901806 4504524 5431926 6756786 7803612 8147889 10863852 13513572 15390457 16295778 30780914 32591556 46171371 61561828 92342742 138514113 184685484 277028226 554056452