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55031280 = 2435467491
BaseRepresentation
bin1101000111101…
…1010111110000
310211112212201120
43101323113300
5103042000110
65243302240
71235521023
oct321732760
9124485646
1055031280
11290778a7
121651a980
13b52a4b5
1474471ba
154c70870
hex347b5f0

55031280 has 80 divisors (see below), whose sum is σ = 171310464. Its totient is φ = 14613760.

The previous prime is 55031279. The next prime is 55031287. The reversal of 55031280 is 8213055.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55031280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55031287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111835 + ... + 112325.

Almost surely, 255031280 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 55031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85655232).

55031280 is an abundant number, since it is smaller than the sum of its proper divisors (116279184).

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

55031280 is a wasteful number, since it uses less digits than its factorization.

55031280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55031280 is about 7418.3070845038. The cubic root of 55031280 is about 380.3673271724.

The spelling of 55031280 in words is "fifty-five million, thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 491 934 982 1401 1473 1868 1964 2335 2455 2802 2946 3736 3928 4670 4910 5604 5892 7005 7365 7472 7856 9340 9820 11208 11784 14010 14730 18680 19640 22416 23568 28020 29460 37360 39280 56040 58920 112080 117840 229297 458594 687891 917188 1146485 1375782 1834376 2292970 2751564 3439455 3668752 4585940 5503128 6878910 9171880 11006256 13757820 18343760 27515640 55031280