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424056556 = 2271137127293
BaseRepresentation
bin11001010001101…
…001011011101100
31002112221022020101
4121101221123230
51332024302211
6110025000444
713336264330
oct3121513354
91075838211
10424056556
111a8406a70
12ba023124
1369b15251
14404677c0
15273665c1
hex194696ec

424056556 has 96 divisors (see below), whose sum is σ = 960970752. Its totient is φ = 158941440.

The previous prime is 424056443. The next prime is 424056559. The reversal of 424056556 is 655650424.

It is a super-2 number, since 2×4240565562 = 359647925373162272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (424056559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447146 + ... + 1447438.

It is an arithmetic number, because the mean of its divisors is an integer number (10010112).

Almost surely, 2424056556 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 424056556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480485376).

424056556 is an abundant number, since it is smaller than the sum of its proper divisors (536914196).

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

424056556 is a wasteful number, since it uses less digits than its factorization.

424056556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 424056556 is about 20592.6335372628. The cubic root of 424056556 is about 751.2905519531.

The spelling of 424056556 in words is "four hundred twenty-four million, fifty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 127 148 154 254 259 293 308 407 508 518 586 814 889 1036 1172 1397 1628 1778 2051 2794 2849 3223 3556 4102 4699 5588 5698 6446 8204 9398 9779 10841 11396 12892 18796 19558 21682 22561 32893 37211 39116 43364 45122 51689 65786 74422 75887 90244 103378 119251 131572 148844 151774 206756 238502 260477 303548 361823 409321 477004 520954 723646 818642 834757 1041908 1376807 1447292 1637284 1669514 2753614 2865247 3339028 5507228 5730494 9637649 11460988 15144877 19275298 30289754 38550596 60579508 106014139 212028278 424056556