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54601316 = 22711296113
BaseRepresentation
bin1101000001001…
…0011001100100
310210202000220222
43100102121210
5102434220231
65230143512
71232050340
oct320223144
9123660828
1054601316
1128903860
1216351b98
13b409893
147374620
154bd827b
hex3412664

54601316 has 48 divisors (see below), whose sum is σ = 123258240. Its totient is φ = 20536320.

The previous prime is 54601291. The next prime is 54601319. The reversal of 54601316 is 61310645.

It is a super-4 number, since 4×546013164 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (54601319) 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, 5876 + ... + 11988.

It is an arithmetic number, because the mean of its divisors is an integer number (2567880).

Almost surely, 254601316 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 54601316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61629120).

54601316 is an abundant number, since it is smaller than the sum of its proper divisors (68656924).

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

54601316 is a wasteful number, since it uses less digits than its factorization.

54601316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 54601316 is about 7389.2703293356. The cubic root of 54601316 is about 379.3741220700.

It can be divided in two parts, 5460 and 1316, that added together give a palindrome (6776).

The spelling of 54601316 in words is "fifty-four million, six hundred one thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 6113 8932 12226 24452 42791 67243 85582 134486 171164 177277 268972 354554 470701 709108 941402 1240939 1882804 1950047 2481878 3900094 4963756 7800188 13650329 27300658 54601316