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5417064 = 233331809
BaseRepresentation
bin10100101010100001101000
3101012012211000
4110222201220
52341321224
6312035000
764021122
oct24524150
911165730
105417064
11306aa14
121992a60
131178883
14a10212
157200c9
hex52a868

5417064 has 64 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1745280.

The previous prime is 5417063. The next prime is 5417099. The reversal of 5417064 is 4607145.

It is a super-4 number, since 4×54170644 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5417063) 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, 6292 + ... + 7100.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 25417064 is an apocalyptic number.

5417064 is a gapful number since it is divisible by the number (54) 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 5417064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5417064 is an abundant number, since it is smaller than the sum of its proper divisors (10134936).

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

5417064 is a wasteful number, since it uses less digits than its factorization.

5417064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5417064 is about 2327.4586999558. The cubic root of 5417064 is about 175.6256679010.

The spelling of 5417064 in words is "five million, four hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 809 837 1116 1618 1674 2232 2427 3236 3348 4854 6472 6696 7281 9708 14562 19416 21843 25079 29124 43686 50158 58248 75237 87372 100316 150474 174744 200632 225711 300948 451422 601896 677133 902844 1354266 1805688 2708532 5417064