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55383960 = 23351721597
BaseRepresentation
bin1101001101000…
…1011110011000
310212012210111210
43103101132120
5103134241320
65255023120
71241520162
oct323213630
9125183453
1055383960
1129298875
121666aaa0
13b621b98
1474d9932
154ce00e0
hex34d1798

55383960 has 96 divisors (see below), whose sum is σ = 176610960. Its totient is φ = 13891584.

The previous prime is 55383947. The next prime is 55383961. The reversal of 55383960 is 6938355.

55383960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55383961) 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 23 ways as a sum of consecutive naturals, for example, 33882 + ... + 35478.

Almost surely, 255383960 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 55383960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88305480).

55383960 is an abundant number, since it is smaller than the sum of its proper divisors (121227000).

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

55383960 is a wasteful number, since it uses less digits than its factorization.

55383960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55383960 is about 7442.0400428915. The cubic root of 55383960 is about 381.1781532623.

The spelling of 55383960 in words is "fifty-five million, three hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1597 1734 2040 2312 2890 3194 3468 4335 4791 5780 6388 6936 7985 8670 9582 11560 12776 15970 17340 19164 23955 27149 31940 34680 38328 47910 54298 63880 81447 95820 108596 135745 162894 191640 217192 271490 325788 407235 461533 542980 651576 814470 923066 1085960 1384599 1628940 1846132 2307665 2769198 3257880 3692264 4615330 5538396 6922995 9230660 11076792 13845990 18461320 27691980 55383960