Search a number
-
+
54853640 = 2356122481
BaseRepresentation
bin1101000101000…
…0000000001000
310211012212001022
43101100000020
5103020304030
65235412012
71234151102
oct321200010
9124185038
1054853640
1128a66396
1216454008
13b49769a
1473dc572
154c37de5
hex3450008

54853640 has 32 divisors (see below), whose sum is σ = 125449560. Its totient is φ = 21580800.

The previous prime is 54853639. The next prime is 54853661. The reversal of 54853640 is 4635845.

It can be written as a sum of positive squares in 4 ways, for example, as 13147876 + 41705764 = 3626^2 + 6458^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54853640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8801 + ... + 13680.

Almost surely, 254853640 is an apocalyptic number.

It is an amenable number.

54853640 is an abundant number, since it is smaller than the sum of its proper divisors (70595920).

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

54853640 is a wasteful number, since it uses less digits than its factorization.

54853640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22553 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 54853640 is about 7406.3243245216. The cubic root of 54853640 is about 379.9576130007.

The spelling of 54853640 in words is "fifty-four million, eight hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 22481 44962 89924 112405 179848 224810 449620 899240 1371341 2742682 5485364 6856705 10970728 13713410 27426820 54853640