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55937216 = 2619157293
BaseRepresentation
bin1101010101100…
…0100011000000
310220020220102202
43111120203000
5103304442331
65314532332
71246313156
oct325304300
9126226382
1055937216
1129636505
12168970a8
13b78695a
1476013d6
154d9decb
hex35588c0

55937216 has 56 divisors (see below), whose sum is σ = 117988080. Its totient is φ = 26237952.

The previous prime is 55937213. The next prime is 55937239. The reversal of 55937216 is 61273955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 55937216.

It is not an unprimeable number, because it can be changed into a prime (55937213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190766 + ... + 191058.

It is an arithmetic number, because the mean of its divisors is an integer number (2106930).

Almost surely, 255937216 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 55937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58994040).

55937216 is an abundant number, since it is smaller than the sum of its proper divisors (62050864).

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

55937216 is a wasteful number, since it uses less digits than its factorization.

55937216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its digits is 56700, while the sum is 38.

The square root of 55937216 is about 7479.1186646556. The cubic root of 55937216 is about 382.4432051462.

The spelling of 55937216 in words is "fifty-five million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 157 293 304 314 586 608 628 1172 1216 1256 2344 2512 2983 4688 5024 5567 5966 9376 10048 11134 11932 18752 22268 23864 44536 46001 47728 89072 92002 95456 178144 184004 190912 356288 368008 736016 874019 1472032 1748038 2944064 3496076 6992152 13984304 27968608 55937216