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55425768 = 23323314179
BaseRepresentation
bin1101001101101…
…1101011101000
310212021220212020
43103123223220
5103142111033
65255544440
71242053106
oct323335350
9125256766
1055425768
1129317222
121668b120
13b637c18
14750ac76
154cec6b3
hex34dbae8

55425768 has 128 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 16473600.

The previous prime is 55425767. The next prime is 55425779. The reversal of 55425768 is 86752455.

It is not an unprimeable number, because it can be changed into a prime (55425767) 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, 701553 + ... + 701631.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 255425768 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 55425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

55425768 is an abundant number, since it is smaller than the sum of its proper divisors (99403032).

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

55425768 is a wasteful number, since it uses less digits than its factorization.

55425768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 55425768 is about 7444.8484202165. The cubic root of 55425768 is about 381.2740431670.

The spelling of 55425768 in words is "fifty-five million, four hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 41 46 62 69 79 82 92 93 123 124 138 158 164 184 186 237 246 248 276 316 328 372 474 492 552 632 713 744 943 948 984 1271 1426 1817 1886 1896 2139 2449 2542 2829 2852 3239 3634 3772 3813 4278 4898 5084 5451 5658 5704 6478 7268 7347 7544 7626 8556 9717 9796 10168 10902 11316 12956 14536 14694 15252 17112 19434 19592 21804 22632 25912 29233 29388 30504 38868 43608 56327 58466 58776 74497 77736 87699 100409 112654 116932 148994 168981 175398 200818 223491 225308 233864 297988 301227 337962 350796 401636 446982 450616 595976 602454 675924 701592 803272 893964 1204908 1351848 1787928 2309407 2409816 4618814 6928221 9237628 13856442 18475256 27712884 55425768