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54466132 = 22731131479
BaseRepresentation
bin1100111111000…
…1011001010100
310210111011111011
43033301121110
5102420404012
65223222004
71230645250
oct317613124
9123434434
1054466132
1128821236
12162a7904
13b3901a6
14733b260
154bad1a7
hex33f1654

54466132 has 48 divisors (see below), whose sum is σ = 113541120. Its totient is φ = 22370400.

The previous prime is 54466127. The next prime is 54466157. The reversal of 54466132 is 23166445.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 54466094 and 54466103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113469 + ... + 113947.

It is an arithmetic number, because the mean of its divisors is an integer number (2365440).

Almost surely, 254466132 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 54466132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

54466132 is an abundant number, since it is smaller than the sum of its proper divisors (59074988).

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

54466132 is a wasteful number, since it uses less digits than its factorization.

54466132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 54466132 is about 7380.1173432406. The cubic root of 54466132 is about 379.0607737353.

The spelling of 54466132 in words is "fifty-four million, four hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 131 217 262 434 479 524 868 917 958 1834 1916 3353 3668 4061 6706 8122 13412 14849 16244 28427 29698 56854 59396 62749 103943 113708 125498 207886 250996 415772 439243 878486 1756972 1945219 3890438 7780876 13616533 27233066 54466132