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55359460 = 225131491429
BaseRepresentation
bin1101001100101…
…1011111100100
310212011112220101
43103023133210
5103133000320
65254313444
71241355562
oct323133744
9125145811
1055359460
1129281422
1216658884
13b6139a0
1474d0a32
154cd7c0a
hex34cb7e4

55359460 has 48 divisors (see below), whose sum is σ = 126126000. Its totient is φ = 20289024.

The previous prime is 55359457. The next prime is 55359517. The reversal of 55359460 is 6495355.

It can be written as a sum of positive squares in 8 ways, for example, as 25482304 + 29877156 = 5048^2 + 5466^2 .

It is a super-2 number, since 2×553594602 = 6129339622983200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38026 + ... + 39454.

It is an arithmetic number, because the mean of its divisors is an integer number (2627625).

Almost surely, 255359460 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 55359460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63063000).

55359460 is an abundant number, since it is smaller than the sum of its proper divisors (70766540).

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

55359460 is a wasteful number, since it uses less digits than its factorization.

55359460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 55359460 is about 7440.3938067820. The cubic root of 55359460 is about 381.1219381767.

The spelling of 55359460 in words is "fifty-five million, three hundred fifty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1429 1490 1937 2858 2980 3874 5716 7145 7748 9685 14290 18577 19370 28580 37154 38740 74308 92885 185770 212921 371540 425842 851684 1064605 2129210 2767973 4258420 5535946 11071892 13839865 27679730 55359460