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554827056 = 243719233373
BaseRepresentation
bin100001000100011…
…111110100110000
31102200000010122020
4201010133310300
52114013431211
6131015511440
716514644410
oct4104376460
91380003566
10554827056
11265204863
12135988580
138ac40644
1453988640
1533a98306
hex2111fd30

554827056 has 160 divisors (see below), whose sum is σ = 1736317440. Its totient is φ = 149133312.

The previous prime is 554827003. The next prime is 554827073. The reversal of 554827056 is 650728455.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 554826999 and 554827017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487286 + ... + 1487658.

It is an arithmetic number, because the mean of its divisors is an integer number (10851984).

Almost surely, 2554827056 is an apocalyptic number.

554827056 is a gapful number since it is divisible by the number (56) 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 554827056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868158720).

554827056 is an abundant number, since it is smaller than the sum of its proper divisors (1181490384).

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

554827056 is a wasteful number, since it uses less digits than its factorization.

554827056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 554827056 is about 23554.7671608106. The cubic root of 554827056 is about 821.7112073873.

The spelling of 554827056 in words is "five hundred fifty-four million, eight hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 233 266 304 336 373 399 456 466 532 699 746 798 912 932 1064 1119 1398 1492 1596 1631 1864 2128 2238 2611 2796 2984 3192 3262 3728 4427 4476 4893 5222 5592 5968 6384 6524 7087 7833 8854 8952 9786 10444 11184 13048 13281 14174 15666 17708 17904 19572 20888 21261 26096 26562 28348 30989 31332 35416 39144 41776 42522 49609 53124 56696 61978 62664 70832 78288 85044 86909 92967 99218 106248 113392 123956 125328 148827 170088 173818 185934 198436 212496 247912 260727 297654 340176 347636 371868 396872 495824 521454 595308 608363 695272 743736 793744 1042908 1190616 1216726 1390544 1487472 1651271 1825089 2085816 2381232 2433452 3302542 3650178 4171632 4866904 4953813 6605084 7300356 9733808 9907626 11558897 13210168 14600712 19815252 23117794 26420336 29201424 34676691 39630504 46235588 69353382 79261008 92471176 138706764 184942352 277413528 554827056