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55466814 = 23132192879
BaseRepresentation
bin1101001110010…
…1101100111110
310212101000011110
43103211230332
5103144414224
65300502450
71242313554
oct323455476
9125330143
1055466814
1129345047
12166aaa26
13b650800
14751bbd4
154d09929
hex34e5b3e

55466814 has 48 divisors (see below), whose sum is σ = 126489600. Its totient is φ = 16162848.

The previous prime is 55466813. The next prime is 55466857. The reversal of 55466814 is 41866455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55466813) 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, 17827 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (2635200).

Almost surely, 255466814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55466814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63244800).

55466814 is an abundant number, since it is smaller than the sum of its proper divisors (71022786).

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

55466814 is a wasteful number, since it uses less digits than its factorization.

55466814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2916 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 55466814 is about 7447.6045813402. The cubic root of 55466814 is about 381.3681384669.

It can be divided in two parts, 55466 and 814, that added together give a triangular number (56280 = T335).

The spelling of 55466814 in words is "fifty-five million, four hundred sixty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 2879 3211 5758 6422 8637 9633 17274 19266 37427 54701 74854 109402 112281 164103 224562 328206 486551 711113 973102 1422226 1459653 2133339 2919306 4266678 9244469 18488938 27733407 55466814