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55461114 = 23219257631
BaseRepresentation
bin1101001110010…
…0010011111010
310212100201100100
43103210103322
5103144223424
65300420230
71242261132
oct323442372
9125321310
1055461114
1129340835
12166a7676
13b64b037
147519ac2
154d07dc9
hex34e44fa

55461114 has 48 divisors (see below), whose sum is σ = 127183680. Its totient is φ = 17418240.

The previous prime is 55461103. The next prime is 55461127. The reversal of 55461114 is 41116455.

55461114 is a `hidden beast` number, since 5 + 546 + 1 + 114 = 666.

It is a super-2 number, since 2×554611142 = 6151870332241992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87579 + ... + 88209.

It is an arithmetic number, because the mean of its divisors is an integer number (2649660).

Almost surely, 255461114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55461114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63591840).

55461114 is an abundant number, since it is smaller than the sum of its proper divisors (71722566).

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

55461114 is a wasteful number, since it uses less digits than its factorization.

55461114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 912 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 55461114 is about 7447.2218981309. The cubic root of 55461114 is about 381.3550743618.

Adding to 55461114 its reverse (41116455), we get a palindrome (96577569).

It can be divided in two parts, 5546111 and 4, that added together give a triangular number (5546115 = T3330).

The spelling of 55461114 in words is "fifty-five million, four hundred sixty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 257 342 514 631 771 1262 1542 1893 2313 3786 4626 4883 5679 9766 11358 11989 14649 23978 29298 35967 43947 71934 87894 107901 162167 215802 324334 486501 973002 1459503 2919006 3081173 6162346 9243519 18487038 27730557 55461114