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55238436 = 22341121409
BaseRepresentation
bin1101001010110…
…1111100100100
310211221101220000
43102231330210
5103120112221
65251541300
71240343001
oct322557444
9124841800
1055238436
11291a9500
12165ba830
13b5a0886
14749c8a8
154cb1e26
hex34adf24

55238436 has 90 divisors (see below), whose sum is σ = 158837910. Its totient is φ = 16727040.

The previous prime is 55238431. The next prime is 55238467. The reversal of 55238436 is 63483255.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 24502500 = 5544^2 + 4950^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 55238436.

It is not an unprimeable number, because it can be changed into a prime (55238431) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38500 + ... + 39908.

Almost surely, 255238436 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 55238436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79418955).

55238436 is an abundant number, since it is smaller than the sum of its proper divisors (103599474).

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

55238436 is a wasteful number, since it uses less digits than its factorization.

55238436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1425 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55238436 is about 7432.2564541329. The cubic root of 55238436 is about 380.8440058276.

The spelling of 55238436 in words is "fifty-five million, two hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1409 1452 1782 2178 2818 3267 3564 4227 4356 5636 6534 8454 9801 12681 13068 15499 16908 19602 25362 30998 38043 39204 46497 50724 61996 76086 92994 114129 139491 152172 170489 185988 228258 278982 340978 418473 456516 511467 557964 681956 836946 1022934 1255419 1534401 1673892 2045868 2510838 3068802 4603203 5021676 6137604 9206406 13809609 18412812 27619218 55238436