Search a number
-
+
55014516 = 223217241373
BaseRepresentation
bin1101000111011…
…1010001110100
310211112000201200
43101313101310
5103040431031
65243052500
71235421114
oct321672164
9124460650
1055014516
1129066247
1216511130
13b52298b
147441044
154c6a8e6
hex3477474

55014516 has 72 divisors (see below), whose sum is σ = 148252104. Its totient is φ = 17141760.

The previous prime is 55014511. The next prime is 55014569. The reversal of 55014516 is 61541055.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22524516 + 32490000 = 4746^2 + 5700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55014516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55014511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147306 + ... + 147678.

It is an arithmetic number, because the mean of its divisors is an integer number (2059057).

Almost surely, 255014516 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 55014516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74126052).

55014516 is an abundant number, since it is smaller than the sum of its proper divisors (93237588).

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

55014516 is a wasteful number, since it uses less digits than its factorization.

55014516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55014516 is about 7417.1770910502. The cubic root of 55014516 is about 380.3286998956.

The spelling of 55014516 in words is "fifty-five million, fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 241 306 373 482 612 723 746 964 1119 1446 1492 2169 2238 2892 3357 4097 4338 4476 6341 6714 8194 8676 12291 12682 13428 16388 19023 24582 25364 36873 38046 49164 57069 73746 76092 89893 114138 147492 179786 228276 269679 359572 539358 809037 1078716 1528181 1618074 3056362 3236148 4584543 6112724 9169086 13753629 18338172 27507258 55014516