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556149480 = 233516328433
BaseRepresentation
bin100001001001100…
…010101011101000
31102202111022122220
4201021202223220
52114333240410
6131104114040
716532123025
oct4111425350
91382438586
10556149480
11265a28377
12136305920
138b2b4543
1453c1054c
1533c5a070
hex21262ae8

556149480 has 64 divisors (see below), whose sum is σ = 1678743360. Its totient is φ = 147391488.

The previous prime is 556149463. The next prime is 556149481. The reversal of 556149480 is 84941655.

It is not an unprimeable number, because it can be changed into a prime (556149481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5344 + ... + 33776.

It is an arithmetic number, because the mean of its divisors is an integer number (26230365).

Almost surely, 2556149480 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 556149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839371680).

556149480 is an abundant number, since it is smaller than the sum of its proper divisors (1122593880).

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

556149480 is a wasteful number, since it uses less digits than its factorization.

556149480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28610 (or 28606 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 556149480 is about 23582.8217141206. The cubic root of 556149480 is about 822.3635358390.

The spelling of 556149480 in words is "five hundred fifty-six million, one hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 28433 56866 85299 113732 142165 170598 227464 284330 341196 426495 568660 682392 852990 1137320 1705980 3411960 4634579 9269158 13903737 18538316 23172895 27807474 37076632 46345790 55614948 69518685 92691580 111229896 139037370 185383160 278074740 556149480