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55416312 = 2334719643
BaseRepresentation
bin1101001101100…
…1010111111000
310212021102220000
43103121113320
5103141310222
65255433000
71242013410
oct323312770
9125242800
1055416312
1129310106
1216685760
13b633823
147507640
154ce99ac
hex34d95f8

55416312 has 160 divisors (see below), whose sum is σ = 187017600. Its totient is φ = 14976576.

The previous prime is 55416307. The next prime is 55416329. The reversal of 55416312 is 21361455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85863 + ... + 86505.

It is an arithmetic number, because the mean of its divisors is an integer number (1168860).

Almost surely, 255416312 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 55416312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93508800).

55416312 is an abundant number, since it is smaller than the sum of its proper divisors (131601288).

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

55416312 is a wasteful number, since it uses less digits than its factorization.

55416312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55416312 is about 7444.2133231121. The cubic root of 55416312 is about 381.2523593153.

Adding to 55416312 its reverse (21361455), we get a palindrome (76777767).

The spelling of 55416312 in words is "fifty-five million, four hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 643 648 684 756 798 1026 1064 1134 1197 1286 1368 1512 1539 1596 1929 2052 2268 2394 2572 3078 3192 3591 3858 4104 4501 4536 4788 5144 5787 6156 7182 7716 9002 9576 10773 11574 12217 12312 13503 14364 15432 17361 18004 21546 23148 24434 27006 28728 34722 36008 36651 40509 43092 46296 48868 52083 54012 69444 73302 81018 85519 86184 97736 104166 108024 109953 121527 138888 146604 162036 171038 208332 219906 243054 256557 293208 324072 329859 342076 364581 416664 439812 486108 513114 659718 684152 729162 769671 879624 972216 989577 1026228 1319436 1458324 1539342 1979154 2052456 2309013 2638872 2916648 3078684 3958308 4618026 6157368 6927039 7916616 9236052 13854078 18472104 27708156 55416312