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54790048 = 25172329151
BaseRepresentation
bin1101000100000…
…0011110100000
310211002121211001
43101000132200
5103011240143
65234201344
71233464515
oct321003640
9124077731
1054790048
1128a22635
1216423254
13b474761
1473c330c
154c2414d
hex34407a0

54790048 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 23654400.

The previous prime is 54790039. The next prime is 54790067. The reversal of 54790048 is 84009745.

It is a junction number, because it is equal to n+sod(n) for n = 54789989 and 54790016.

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, 362773 + ... + 362923.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 254790048 is an apocalyptic number.

54790048 is a gapful number since it is divisible by the number (58) 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 54790048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

54790048 is an abundant number, since it is smaller than the sum of its proper divisors (69314912).

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

54790048 is a wasteful number, since it uses less digits than its factorization.

54790048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 54790048 is about 7402.0299918333. The cubic root of 54790048 is about 379.8107275331.

The spelling of 54790048 in words is "fifty-four million, seven hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 68 92 116 136 151 184 232 272 302 368 391 464 493 544 604 667 736 782 928 986 1208 1334 1564 1972 2416 2567 2668 3128 3473 3944 4379 4832 5134 5336 6256 6946 7888 8758 10268 10672 11339 12512 13892 15776 17516 20536 21344 22678 27784 35032 41072 45356 55568 59041 70064 74443 82144 90712 100717 111136 118082 140128 148886 181424 201434 236164 297772 362848 402868 472328 595544 805736 944656 1191088 1611472 1712189 1889312 2382176 3222944 3424378 6848756 13697512 27395024 54790048