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55301616 = 243471601
BaseRepresentation
bin1101001011110…
…1010111110000
310212001121120000
43102331113300
5103124122431
65253150000
71241025126
oct322752760
9125047500
1055301616
1129241a17
121662b300
13b5c3566
1474b7916
154cc59e6
hex34bd5f0

55301616 has 100 divisors (see below), whose sum is σ = 162583344. Its totient is φ = 18144000.

The previous prime is 55301611. The next prime is 55301621. The reversal of 55301616 is 61610355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55301611) and next prime (55301621).

It is a super-2 number, since 2×553016162 = 6116537464422912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55301616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55301611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91716 + ... + 92316.

Almost surely, 255301616 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 55301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291672).

55301616 is an abundant number, since it is smaller than the sum of its proper divisors (107281728).

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

55301616 is a wasteful number, since it uses less digits than its factorization.

55301616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55301616 is about 7436.5056310071. The cubic root of 55301616 is about 380.9891496693.

The spelling of 55301616 in words is "fifty-five million, three hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 601 639 648 852 1136 1202 1278 1296 1704 1803 1917 2404 2556 3408 3606 3834 4808 5112 5409 5751 7212 7668 9616 10224 10818 11502 14424 15336 16227 21636 23004 28848 30672 32454 42671 43272 46008 48681 64908 85342 86544 92016 97362 128013 129816 170684 194724 256026 259632 341368 384039 389448 512052 682736 768078 778896 1024104 1152117 1536156 2048208 2304234 3072312 3456351 4608468 6144624 6912702 9216936 13825404 18433872 27650808 55301616