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5106948 = 2237115527
BaseRepresentation
bin10011011110110100000100
3100121110102020
4103132310010
52301410243
6301243140
761260030
oct23366404
910543366
105106948
112978a20
1218634b0
13109a682
1496d1c0
156ad283
hex4ded04

5106948 has 48 divisors (see below), whose sum is σ = 14859264. Its totient is φ = 1326240.

The previous prime is 5106947. The next prime is 5106961. The reversal of 5106948 is 8496015.

5106948 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (5106947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (309568).

Almost surely, 25106948 is an apocalyptic number.

It is an amenable number.

5106948 is an abundant number, since it is smaller than the sum of its proper divisors (9752316).

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

5106948 is a wasteful number, since it uses less digits than its factorization.

5106948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5106948 is about 2259.8557476087. The cubic root of 5106948 is about 172.2081939011.

It can be divided in two parts, 5 and 106948, that added together give a triangular number (106953 = T462).

The spelling of 5106948 in words is "five million, one hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 5527 11054 16581 22108 33162 38689 60797 66324 77378 116067 121594 154756 182391 232134 243188 364782 425579 464268 729564 851158 1276737 1702316 2553474 5106948