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54788994 = 23313174591
BaseRepresentation
bin1101000100000…
…0001110000010
310211002120101000
43101000032002
5103011221434
65234152430
71233461451
oct321001602
9124076330
1054788994
1128a21867
1216422716
13b474130
1473c2b98
154c23b99
hex3440382

54788994 has 64 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 15863040.

The previous prime is 54788969. The next prime is 54788999. The reversal of 54788994 is 49988745.

54788994 is a `hidden beast` number, since 5 + 478 + 89 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54788994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54788999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9639 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 254788994 is an apocalyptic number.

54788994 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54788994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

54788994 is an abundant number, since it is smaller than the sum of its proper divisors (84073086).

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

54788994 is a wasteful number, since it uses less digits than its factorization.

54788994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4626 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 54788994 is about 7401.9587948056. The cubic root of 54788994 is about 379.8082920356.

The spelling of 54788994 in words is "fifty-four million, seven hundred eighty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 4591 5967 9182 11934 13773 27546 41319 59683 78047 82638 119366 123957 156094 179049 234141 247914 358098 468282 537147 702423 1014611 1074294 1404846 1611441 2029222 2107269 3043833 3222882 4214538 6087666 9131499 18262998 27394497 54788994