Search a number
-
+
557531640 = 23335516233
BaseRepresentation
bin100001001110110…
…100000111111000
31102212002112122000
4201032310013320
52120212003030
6131153501000
716546640451
oct4116640770
91385075560
10557531640
11266791856
12136871760
138b6796a3
1454090128
1533e2e860
hex213b41f8

557531640 has 64 divisors (see below), whose sum is σ = 1858442400. Its totient is φ = 148674816.

The previous prime is 557531633. The next prime is 557531647. The reversal of 557531640 is 46135755.

557531640 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 3 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (557531633) and next prime (557531647).

It is a super-3 number, since 3×5575316403 (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 557531595 and 557531604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557531647) 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, 257037 + ... + 259196.

Almost surely, 2557531640 is an apocalyptic number.

It is an amenable number.

557531640 is an abundant number, since it is smaller than the sum of its proper divisors (1300910760).

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

557531640 is a wasteful number, since it uses less digits than its factorization.

557531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516253 (or 516243 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 557531640 is about 23612.1079109850. The cubic root of 557531640 is about 823.0442267448.

The spelling of 557531640 in words is "five hundred fifty-seven million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 516233 1032466 1548699 2064932 2581165 3097398 4129864 4646097 5162330 6194796 7743495 9292194 10324660 12389592 13938291 15486990 18584388 20649320 23230485 27876582 30973980 37168776 46460970 55753164 61947960 69691455 92921940 111506328 139382910 185843880 278765820 557531640