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556980440 = 235191814049
BaseRepresentation
bin100001001100101…
…101100011011000
31102211001112112012
4201030231203120
52120041333230
6131134005052
716542153452
oct4114554330
91384045465
10556980440
11266445715
12136646788
138b515833
1453d892d2
1533d71395
hex2132d8d8

556980440 has 64 divisors (see below), whose sum is σ = 1326780000. Its totient is φ = 209848320.

The previous prime is 556980427. The next prime is 556980481. The reversal of 556980440 is 44089655.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 135536 + ... + 139584.

Almost surely, 2556980440 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 556980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663390000).

556980440 is an abundant number, since it is smaller than the sum of its proper divisors (769799560).

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

556980440 is a wasteful number, since it uses less digits than its factorization.

556980440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 556980440 is about 23600.4330468744. The cubic root of 556980440 is about 822.7729048857.

The spelling of 556980440 in words is "five hundred fifty-six million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 181 190 362 380 724 760 905 1448 1810 3439 3620 4049 6878 7240 8098 13756 16196 17195 20245 27512 32392 34390 40490 68780 76931 80980 137560 153862 161960 307724 384655 615448 732869 769310 1465738 1538620 2931476 3077240 3664345 5862952 7328690 13924511 14657380 27849022 29314760 55698044 69622555 111396088 139245110 278490220 556980440