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55258740 = 22335313301
BaseRepresentation
bin1101001011001…
…0111001110100
310211222102202000
43102302321310
5103121234430
65252215300
71240456125
oct322627164
9124872660
1055258740
1129212789
121660a530
13b5a9ba4
1474a604c
154cb7e60
hex34b2e74

55258740 has 96 divisors (see below), whose sum is σ = 177515520. Its totient is φ = 14256000.

The previous prime is 55258739. The next prime is 55258747. The reversal of 55258740 is 4785255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55258695 and 55258704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55258747) 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, 15090 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 255258740 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 55258740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

55258740 is an abundant number, since it is smaller than the sum of its proper divisors (122256780).

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

55258740 is a wasteful number, since it uses less digits than its factorization.

55258740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55258740 is about 7433.6222664324. The cubic root of 55258740 is about 380.8906624072.

The spelling of 55258740 in words is "fifty-five million, two hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3301 3348 4185 5580 6602 8370 9903 13204 16505 16740 19806 29709 33010 39612 49515 59418 66020 89127 99030 102331 118836 148545 178254 198060 204662 297090 306993 356508 409324 445635 511655 594180 613986 891270 920979 1023310 1227972 1534965 1782540 1841958 2046620 2762937 3069930 3683916 4604895 5525874 6139860 9209790 11051748 13814685 18419580 27629370 55258740