Search a number
-
+
55910484 = 223271731421
BaseRepresentation
bin1101010101001…
…0000001010100
310220012112202200
43111102001110
5103303113414
65314204500
71246142220
oct325220124
9126175680
1055910484
1129618413
1216883730
13b777736
1475d5780
154d96109
hex3552054

55910484 has 144 divisors (see below), whose sum is σ = 176956416. Its totient is φ = 14515200.

The previous prime is 55910473. The next prime is 55910489. The reversal of 55910484 is 48401955.

It is a super-2 number, since 2×559104842 = 6251964442228512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (55910489) 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, 132594 + ... + 133014.

It is an arithmetic number, because the mean of its divisors is an integer number (1228864).

Almost surely, 255910484 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 55910484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88478208).

55910484 is an abundant number, since it is smaller than the sum of its proper divisors (121045932).

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

55910484 is a wasteful number, since it uses less digits than its factorization.

55910484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55910484 is about 7477.3313421300. The cubic root of 55910484 is about 382.3822731376.

The spelling of 55910484 in words is "fifty-five million, nine hundred ten thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 421 434 476 527 558 612 651 714 842 868 1054 1071 1116 1263 1302 1428 1581 1684 1953 2108 2142 2526 2604 2947 3162 3689 3789 3906 4284 4743 5052 5894 6324 7157 7378 7578 7812 8841 9486 11067 11788 13051 14314 14756 15156 17682 18972 21471 22134 26102 26523 28628 33201 35364 39153 42942 44268 50099 52204 53046 64413 66402 78306 85884 91357 100198 106092 117459 128826 132804 150297 156612 182714 200396 221867 234918 257652 274071 300594 365428 443734 450891 469836 548142 601188 665601 822213 887468 901782 1096284 1331202 1553069 1644426 1803564 1996803 2662404 3106138 3288852 3993606 4659207 6212276 7987212 9318414 13977621 18636828 27955242 55910484