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54419568 = 24371491087
BaseRepresentation
bin1100111110011…
…0000001110000
310210101210121120
43033212001300
5102412411233
65222222240
71230362430
oct317460160
9123353546
1054419568
112879a255
1216284980
13b374c38
1473282c0
154b9e4b3
hex33e6070

54419568 has 80 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 15429888.

The previous prime is 54419543. The next prime is 54419579. The reversal of 54419568 is 86591445.

It is a super-2 number, since 2×544195682 = 5922978762613248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49521 + ... + 50607.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 254419568 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 54419568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

54419568 is an abundant number, since it is smaller than the sum of its proper divisors (107474832).

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

54419568 is a wasteful number, since it uses less digits than its factorization.

54419568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 54419568 is about 7376.9619763152. The cubic root of 54419568 is about 378.9527211557.

The spelling of 54419568 in words is "fifty-four million, four hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1087 1192 1788 2086 2174 2384 3129 3261 3576 4172 4348 6258 6522 7152 7609 8344 8696 12516 13044 15218 16688 17392 22827 25032 26088 30436 45654 50064 52176 60872 91308 121744 161963 182616 323926 365232 485889 647852 971778 1133741 1295704 1943556 2267482 2591408 3401223 3887112 4534964 6802446 7774224 9069928 13604892 18139856 27209784 54419568