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54628848 = 2432973911
BaseRepresentation
bin1101000001100…
…1000111110000
310210210102200200
43100121013300
5102441110343
65230515200
71232223531
oct320310760
9123712620
1054628848
112892250a
1216365b00
13b419281
147380688
154be14d3
hex34191f0

54628848 has 60 divisors (see below), whose sum is σ = 154500528. Its totient is φ = 18017280.

The previous prime is 54628817. The next prime is 54628853. The reversal of 54628848 is 84882645.

54628848 is a `hidden beast` number, since 546 + 28 + 84 + 8 = 666.

It is a super-2 number, since 2×546288482 = 5968622067614208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12013 + ... + 15923.

Almost surely, 254628848 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 54628848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77250264).

54628848 is an abundant number, since it is smaller than the sum of its proper divisors (99871680).

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

54628848 is a wasteful number, since it uses less digits than its factorization.

54628848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4013 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 54628848 is about 7391.1330660461. The cubic root of 54628848 is about 379.4378761698.

The spelling of 54628848 in words is "fifty-four million, six hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 3911 4656 6984 7822 11733 13968 15644 23466 31288 35199 46932 62576 70398 93864 140796 187728 281592 379367 563184 758734 1138101 1517468 2276202 3034936 3414303 4552404 6069872 6828606 9104808 13657212 18209616 27314424 54628848