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55964424 = 233193137107
BaseRepresentation
bin1101010101111…
…1001100001000
310220022021202110
43111133030020
5103311330144
65315302320
71246455405
oct325371410
9126267673
1055964424
112965499a
12168aa9a0
13b796159
14760b2ac
154da70b9
hex355f308

55964424 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 16485120.

The previous prime is 55964423. The next prime is 55964429. The reversal of 55964424 is 42446955.

It is a happy number.

55964424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55964423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 522979 + ... + 523085.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 255964424 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 55964424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

55964424 is an abundant number, since it is smaller than the sum of its proper divisors (101629176).

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

55964424 is a wasteful number, since it uses less digits than its factorization.

55964424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 55964424 is about 7480.9373744204. The cubic root of 55964424 is about 382.5052022019.

The spelling of 55964424 in words is "fifty-five million, nine hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 37 38 57 62 74 76 93 107 111 114 124 148 152 186 214 222 228 248 296 321 372 428 444 456 589 642 703 744 856 888 1147 1178 1284 1406 1767 2033 2109 2294 2356 2568 2812 3317 3441 3534 3959 4066 4218 4588 4712 5624 6099 6634 6882 7068 7918 8132 8436 9176 9951 11877 12198 13268 13764 14136 15836 16264 16872 19902 21793 23754 24396 26536 27528 31672 39804 43586 47508 48792 63023 65379 75221 79608 87172 95016 122729 126046 130758 150442 174344 189069 225663 245458 252092 261516 300884 368187 378138 451326 490916 504184 523032 601768 736374 756276 902652 981832 1472748 1512552 1805304 2331851 2945496 4663702 6995553 9327404 13991106 18654808 27982212 55964424