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54628344 = 2336171929
BaseRepresentation
bin1101000001100…
…0111111111000
310210210102000000
43100120333320
5102441101334
65230513000
71232222211
oct320307770
9123712000
1054628344
11289220a1
1216365760
13b418c84
147380408
154be1299
hex3418ff8

54628344 has 224 divisors, whose sum is σ = 177066000. Its totient is φ = 15676416.

The previous prime is 54628337. The next prime is 54628351. The reversal of 54628344 is 44382645.

It is an interprime number because it is at equal distance from previous prime (54628337) and next prime (54628351).

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

It is a junction number, because it is equal to n+sod(n) for n = 54628299 and 54628308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1883722 + ... + 1883750.

Almost surely, 254628344 is an apocalyptic number.

54628344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54628344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88533000).

54628344 is an abundant number, since it is smaller than the sum of its proper divisors (122437656).

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

54628344 is a wasteful number, since it uses less digits than its factorization.

54628344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 54628344 is about 7391.0989710597. The cubic root of 54628344 is about 379.4367092816.

The spelling of 54628344 in words is "fifty-four million, six hundred twenty-eight thousand, three hundred forty-four".