Search a number
-
+
54728760 = 23351373329
BaseRepresentation
bin1101000011000…
…1100000111000
310210222111202010
43100301200320
5103002310020
65233005520
71233121032
oct320614070
9123874663
1054728760
1128990589
12163b38a0
13b4528a8
1473a8c52
154c10de0
hex3431838

54728760 has 64 divisors (see below), whose sum is σ = 165434400. Its totient is φ = 14483456.

The previous prime is 54728747. The next prime is 54728761. The reversal of 54728760 is 6782745.

It is a super-2 number, since 2×547287602 = 5990474342275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54728761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14776 + ... + 18104.

Almost surely, 254728760 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 54728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82717200).

54728760 is an abundant number, since it is smaller than the sum of its proper divisors (110705640).

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

54728760 is a wasteful number, since it uses less digits than its factorization.

54728760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 54728760 is about 7397.8888880545. Note that the first 6 decimals coincide. The cubic root of 54728760 is about 379.6690562769.

The spelling of 54728760 in words is "fifty-four million, seven hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 3329 4110 5480 6658 8220 9987 13316 16440 16645 19974 26632 33290 39948 49935 66580 79896 99870 133160 199740 399480 456073 912146 1368219 1824292 2280365 2736438 3648584 4560730 5472876 6841095 9121460 10945752 13682190 18242920 27364380 54728760