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55177164 = 22327347631
BaseRepresentation
bin1101001001111…
…0111111001100
310211211021211200
43102132333030
5103111132124
65250345500
71236666240
oct322367714
9124737750
1055177164
1129167469
121658b290
13b57ba13
147484420
154c9dbc9
hex349efcc

55177164 has 72 divisors (see below), whose sum is σ = 160113408. Its totient is φ = 15694560.

The previous prime is 55177163. The next prime is 55177183. The reversal of 55177164 is 46177155.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 (55177163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87129 + ... + 87759.

Almost surely, 255177164 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 55177164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80056704).

55177164 is an abundant number, since it is smaller than the sum of its proper divisors (104936244).

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

55177164 is a wasteful number, since it uses less digits than its factorization.

55177164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 55177164 is about 7428.1332782874. The cubic root of 55177164 is about 380.7031394979.

Subtracting from 55177164 its reverse (46177155), we obtain a palindrome (9000009).

The spelling of 55177164 in words is "fifty-five million, one hundred seventy-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 347 631 694 1041 1262 1388 1893 2082 2429 2524 3123 3786 4164 4417 4858 5679 6246 7287 7572 8834 9716 11358 12492 13251 14574 17668 21861 22716 26502 29148 39753 43722 53004 79506 87444 159012 218957 437914 656871 875828 1313742 1532699 1970613 2627484 3065398 3941226 4598097 6130796 7882452 9196194 13794291 18392388 27588582 55177164