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55312152 = 233717107181
BaseRepresentation
bin1101001011111…
…1111100011000
310212002011000020
43102333330120
5103124442102
65253310440
71241100630
oct322777430
9125064006
1055312152
1129249925
1216635420
13b5c82ac
1474bb6c0
154cc8bbc
hex34bff18

55312152 has 128 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14653440.

The previous prime is 55312129. The next prime is 55312181. The reversal of 55312152 is 25121355.

It is a happy number.

It is a super-2 number, since 2×553121522 = 6118868317742208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305502 + ... + 305682.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 255312152 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 55312152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

55312152 is an abundant number, since it is smaller than the sum of its proper divisors (114515688).

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

55312152 is a wasteful number, since it uses less digits than its factorization.

55312152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 55312152 is about 7437.2139945009. The cubic root of 55312152 is about 381.0133433372.

The spelling of 55312152 in words is "fifty-five million, three hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 107 119 136 168 181 204 214 238 321 357 362 408 428 476 543 642 714 724 749 856 952 1086 1267 1284 1428 1448 1498 1819 2172 2247 2534 2568 2856 2996 3077 3638 3801 4344 4494 5068 5457 5992 6154 7276 7602 8988 9231 10136 10914 12308 12733 14552 15204 17976 18462 19367 21539 21828 24616 25466 30408 36924 38199 38734 43078 43656 50932 58101 64617 73848 76398 77468 86156 101864 116202 129234 135569 152796 154936 172312 232404 258468 271138 305592 329239 406707 464808 516936 542276 658478 813414 987717 1084552 1316956 1626828 1975434 2304673 2633912 3253656 3950868 4609346 6914019 7901736 9218692 13828038 18437384 27656076 55312152