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54754840 = 2357283691
BaseRepresentation
bin1101000011011…
…1111000011000
310211000211112001
43100313320120
5103004123330
65233330344
71233260050
oct320677030
9124024461
1054754840
11289a9138
12164069b4
13b46171a
1473b4560
154c189ca
hex3437e18

54754840 has 64 divisors (see below), whose sum is σ = 141500160. Its totient is φ = 18679680.

The previous prime is 54754823. The next prime is 54754873. The reversal of 54754840 is 4845745.

54754840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54754840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78895 + ... + 79585.

It is an arithmetic number, because the mean of its divisors is an integer number (2210940).

Almost surely, 254754840 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 54754840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70750080).

54754840 is an abundant number, since it is smaller than the sum of its proper divisors (86745320).

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

54754840 is a wasteful number, since it uses less digits than its factorization.

54754840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 54754840 is about 7399.6513431377. The cubic root of 54754840 is about 379.7293548388.

The spelling of 54754840 in words is "fifty-four million, seven hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 283 566 691 1132 1382 1415 1981 2264 2764 2830 3455 3962 4837 5528 5660 6910 7924 9674 9905 11320 13820 15848 19348 19810 24185 27640 38696 39620 48370 79240 96740 193480 195553 391106 782212 977765 1368871 1564424 1955530 2737742 3911060 5475484 6844355 7822120 10950968 13688710 27377420 54754840