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557378496 = 2634791361
BaseRepresentation
bin100001001110001…
…110101111000000
31102211210202120000
4201032032233000
52120142102441
6131150320000
716545432123
oct4116165700
91384722500
10557378496
11266697794
121367b9000
138b624a7c
14540503ba
1533dee2b6
hex2138ebc0

557378496 has 140 divisors (see below), whose sum is σ = 1674388320. Its totient is φ = 183306240.

The previous prime is 557378467. The next prime is 557378531. The reversal of 557378496 is 694873755.

557378496 is a `hidden beast` number, since 557 + 3 + 7 + 84 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 408856 + ... + 410216.

Almost surely, 2557378496 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 557378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837194160).

557378496 is an abundant number, since it is smaller than the sum of its proper divisors (1117009824).

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

557378496 is a wasteful number, since it uses less digits than its factorization.

557378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 557378496 is about 23608.8647757574. The cubic root of 557378496 is about 822.9688613195.

The spelling of 557378496 in words is "five hundred fifty-seven million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 864 948 1264 1296 1361 1422 1728 1896 2133 2528 2592 2722 2844 3792 4083 4266 5056 5184 5444 5688 6399 7584 8166 8532 10888 11376 12249 12798 15168 16332 17064 21776 22752 24498 25596 32664 34128 36747 43552 45504 48996 51192 65328 68256 73494 87104 97992 102384 107519 110241 130656 136512 146988 195984 204768 215038 220482 261312 293976 322557 391968 409536 430076 440964 587952 645114 783936 860152 881928 967671 1175904 1290228 1720304 1763856 1935342 2351808 2580456 2903013 3440608 3527712 3870684 5160912 5806026 6881216 7055424 7741368 8709039 10321824 11612052 15482736 17418078 20643648 23224104 30965472 34836156 46448208 61930944 69672312 92896416 139344624 185792832 278689248 557378496