Search a number
-
+
55702464 = 263377841
BaseRepresentation
bin1101010001111…
…1001111000000
310212210222102020
43110133033000
5103224434324
65305521440
71244314566
oct324371700
9125728366
1055702464
11294960a4
12167a3280
13b703b4c
14757da36
154d54679
hex351f3c0

55702464 has 56 divisors (see below), whose sum is σ = 151381968. Its totient is φ = 18063360.

The previous prime is 55702463. The next prime is 55702469. The reversal of 55702464 is 46420755.

55702464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55702463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184 + ... + 11024.

Almost surely, 255702464 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 55702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75690984).

55702464 is an abundant number, since it is smaller than the sum of its proper divisors (95679504).

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

55702464 is a wasteful number, since it uses less digits than its factorization.

55702464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 55702464 is about 7463.4083366784. The cubic root of 55702464 is about 381.9074545327.

The spelling of 55702464 in words is "fifty-five million, seven hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 7841 15682 23523 31364 47046 62728 94092 125456 188184 250912 290117 376368 501824 580234 752736 870351 1160468 1505472 1740702 2320936 3481404 4641872 6962808 9283744 13925616 18567488 27851232 55702464