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54141372 = 22382063
BaseRepresentation
bin1100111010001…
…0000110111100
310202212200000000
43032202012330
5102330010442
65212234300
71225123365
oct316420674
9122780000
1054141372
112861a23a
121616b990
13b2a841c
147294b6c
154b46d4c
hex33a21bc

54141372 has 54 divisors (see below), whose sum is σ = 142182768. Its totient is φ = 18038376.

The previous prime is 54141371. The next prime is 54141391. The reversal of 54141372 is 27314145.

54141372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54141371) 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 17 ways as a sum of consecutive naturals, for example, 25213 + ... + 27275.

Almost surely, 254141372 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 54141372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71091384).

54141372 is an abundant number, since it is smaller than the sum of its proper divisors (88041396).

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

54141372 is an equidigital number, since it uses as much as digits as its factorization.

54141372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2068 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 54141372 is about 7358.0820870659. The cubic root of 54141372 is about 378.3058748705.

It can be divided in two parts, 5414 and 1372, that added together give a triangular number (6786 = T116).

The spelling of 54141372 in words is "fifty-four million, one hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2063 2187 2916 4126 4374 6189 6561 8252 8748 12378 13122 18567 24756 26244 37134 55701 74268 111402 167103 222804 334206 501309 668412 1002618 1503927 2005236 3007854 4511781 6015708 9023562 13535343 18047124 27070686 54141372