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54838152 = 23321017541
BaseRepresentation
bin1101000100110…
…0001110001000
310211012001210200
43101030032020
5103014310102
65235212200
71234054665
oct321141610
9124161720
1054838152
1128a55796
1216447060
13b490615
1473d6a6c
154c3351c
hex344c388

54838152 has 48 divisors (see below), whose sum is σ = 150010380. Its totient is φ = 18096000.

The previous prime is 54838139. The next prime is 54838169. The reversal of 54838152 is 25183845.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54552996 + 285156 = 7386^2 + 534^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3502 + ... + 11042.

Almost surely, 254838152 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 54838152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75005190).

54838152 is an abundant number, since it is smaller than the sum of its proper divisors (95172228).

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

54838152 is a wasteful number, since it uses less digits than its factorization.

54838152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7647 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 54838152 is about 7405.2786578224. The cubic root of 54838152 is about 379.9218491179.

The spelling of 54838152 in words is "fifty-four million, eight hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 7541 15082 22623 30164 45246 60328 67869 90492 135738 180984 271476 542952 761641 1523282 2284923 3046564 4569846 6093128 6854769 9139692 13709538 18279384 27419076 54838152