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55451144 = 23721753157
BaseRepresentation
bin1101001110000…
…1111000001000
310212100012200002
43103201320020
5103143414034
65300302132
71242220100
oct323417010
9125305602
1055451144
11293342a1
12166a1948
13b646638
147516200
154d04e7e
hex34e1e08

55451144 has 96 divisors (see below), whose sum is σ = 131307480. Its totient is φ = 21805056.

The previous prime is 55451083. The next prime is 55451159. The reversal of 55451144 is 44115455.

It can be written as a sum of positive squares in 4 ways, for example, as 52388644 + 3062500 = 7238^2 + 1750^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353114 + ... + 353270.

Almost surely, 255451144 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 55451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65653740).

55451144 is an abundant number, since it is smaller than the sum of its proper divisors (75856336).

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

55451144 is a wasteful number, since it uses less digits than its factorization.

55451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 8000, while the sum is 29.

The square root of 55451144 is about 7446.5524909182. The cubic root of 55451144 is about 381.3322214854.

Adding to 55451144 its reverse (44115455), we get a palindrome (99566599).

The spelling of 55451144 in words is "fifty-five million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 53 56 68 98 106 119 136 157 196 212 238 314 371 392 424 476 628 742 833 901 952 1099 1256 1484 1666 1802 2198 2597 2669 2968 3332 3604 4396 5194 5338 6307 6664 7208 7693 8321 8792 10388 10676 12614 15386 16642 18683 20776 21352 25228 30772 33284 37366 44149 50456 58247 61544 66568 74732 88298 116494 130781 141457 149464 176596 232988 261562 282914 353192 407729 465976 523124 565828 815458 990199 1046248 1131656 1630916 1980398 3261832 3960796 6931393 7921592 13862786 27725572 55451144