Search a number
-
+
55562364 = 2232111343251
BaseRepresentation
bin1101001111110…
…1000001111100
310212112212020100
43103331001330
5103210443424
65302521100
71243162254
oct323750174
9125485210
1055562364
11293aa910
1216736190
13b685150
147544964
154d27dc9
hex34fd07c

55562364 has 144 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 15120000.

The previous prime is 55562357. The next prime is 55562369. The reversal of 55562364 is 46326555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55562369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221239 + ... + 221489.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 255562364 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 55562364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

55562364 is an abundant number, since it is smaller than the sum of its proper divisors (113950980).

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

55562364 is a wasteful number, since it uses less digits than its factorization.

55562364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55562364 is about 7454.0166353450. The cubic root of 55562364 is about 381.5870009944.

The spelling of 55562364 in words is "fifty-five million, five hundred sixty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 43 44 52 66 78 86 99 117 129 132 143 156 172 198 234 251 258 286 387 396 429 468 473 502 516 559 572 753 774 858 946 1004 1118 1287 1419 1506 1548 1677 1716 1892 2236 2259 2574 2761 2838 3012 3263 3354 4257 4518 5031 5148 5522 5676 6149 6526 6708 8283 8514 9036 9789 10062 10793 11044 12298 13052 16566 17028 18447 19578 20124 21586 24596 24849 29367 32379 33132 35893 36894 39156 43172 49698 55341 58734 64758 71786 73788 97137 99396 107679 110682 117468 118723 129516 140309 143572 194274 215358 221364 237446 280618 323037 356169 388548 420927 430716 474892 561236 646074 712338 841854 1068507 1262781 1292148 1424676 1543399 1683708 2137014 2525562 3086798 4274028 4630197 5051124 6173596 9260394 13890591 18520788 27781182 55562364