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55023144 = 233113743131
BaseRepresentation
bin1101000111100…
…1011000101000
310211112110120020
43101321120220
5103041220034
65243200440
71235455221
oct321713050
9124473506
1055023144
1129071780
1216516120
13b526897
147444248
154c6d249
hex3479628

55023144 has 128 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 15724800.

The previous prime is 55023139. The next prime is 55023149. The reversal of 55023144 is 44132055.

It is an interprime number because it is at equal distance from previous prime (55023139) and next prime (55023149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55023149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419959 + ... + 420089.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 255023144 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 55023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79453440).

55023144 is an abundant number, since it is smaller than the sum of its proper divisors (103883736).

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

55023144 is a wasteful number, since it uses less digits than its factorization.

55023144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55023144 is about 7417.7586911411. The cubic root of 55023144 is about 380.3485813422.

Adding to 55023144 its reverse (44132055), we get a palindrome (99155199).

It can be divided in two parts, 5502 and 3144, that added together give a triangular number (8646 = T131).

The spelling of 55023144 in words is "fifty-five million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 43 44 66 74 86 88 111 129 131 132 148 172 222 258 262 264 296 344 393 407 444 473 516 524 786 814 888 946 1032 1048 1221 1419 1441 1572 1591 1628 1892 2442 2838 2882 3144 3182 3256 3784 4323 4773 4847 4884 5633 5676 5764 6364 8646 9546 9694 9768 11266 11352 11528 12728 14541 16899 17292 17501 19092 19388 22532 29082 33798 34584 35002 38184 38776 45064 52503 53317 58164 61963 67596 70004 105006 106634 116328 123926 135192 140008 159951 185889 208421 210012 213268 247852 319902 371778 416842 420024 426536 495704 625263 639804 743556 833684 1250526 1279608 1487112 1667368 2292631 2501052 4585262 5002104 6877893 9170524 13755786 18341048 27511572 55023144