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54582416 = 2474710369
BaseRepresentation
bin1101000000110…
…1110010010000
310210201001222222
43100031302100
5102433114131
65225520212
71231641260
oct320156220
9123631888
1054582416
11288a0639
1216343068
13b4010b5
14736b7a0
154bd287b
hex340dc90

54582416 has 40 divisors (see below), whose sum is σ = 123444480. Its totient is φ = 22892544.

The previous prime is 54582401. The next prime is 54582419. The reversal of 54582416 is 61428545.

It is not an unprimeable number, because it can be changed into a prime (54582419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (3086112).

Almost surely, 254582416 is an apocalyptic number.

54582416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54582416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61722240).

54582416 is an abundant number, since it is smaller than the sum of its proper divisors (68862064).

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

54582416 is a wasteful number, since it uses less digits than its factorization.

54582416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10425 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 54582416 is about 7387.9913372987. The cubic root of 54582416 is about 379.3303441364.

The spelling of 54582416 in words is "fifty-four million, five hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 10369 20738 41476 72583 82952 145166 165904 290332 487343 580664 974686 1161328 1949372 3411401 3898744 6822802 7797488 13645604 27291208 54582416