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55679352 = 23317239571
BaseRepresentation
bin1101010001100…
…1100101111000
310212202210201020
43110121211320
5103223214402
65305222440
71244160321
oct324314570
9125683636
1055679352
112947a7a3
1216791a20
13b6c6481
147575448
154d4c8bc
hex3519978

55679352 has 64 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 17364480.

The previous prime is 55679347. The next prime is 55679383. The reversal of 55679352 is 25397655.

55679352 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97227 + ... + 97797.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 255679352 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 55679352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

55679352 is an abundant number, since it is smaller than the sum of its proper divisors (92583048).

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

55679352 is a wasteful number, since it uses less digits than its factorization.

55679352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 283500, while the sum is 42.

The square root of 55679352 is about 7461.8598217871. The cubic root of 55679352 is about 381.8546270303.

The spelling of 55679352 in words is "fifty-five million, six hundred seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 571 717 956 1142 1434 1713 1912 2284 2868 3426 4063 4568 5736 6852 8126 9707 12189 13704 16252 19414 24378 29121 32504 38828 48756 58242 77656 97512 116484 136469 232968 272938 409407 545876 818814 1091752 1637628 2319973 3275256 4639946 6959919 9279892 13919838 18559784 27839676 55679352