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5082264 = 2334112331
BaseRepresentation
bin10011011000110010011000
3100120012120000
4103120302120
52300113024
6300533000
761125045
oct23306230
910505500
105082264
112961420
121851160
13108c375
149641cc
156a5cc9
hex4d8c98

5082264 has 160 divisors (see below), whose sum is σ = 16727040. Its totient is φ = 1425600.

The previous prime is 5082227. The next prime is 5082271. The reversal of 5082264 is 4622805.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163929 + ... + 163959.

It is an arithmetic number, because the mean of its divisors is an integer number (104544).

Almost surely, 25082264 is an apocalyptic number.

5082264 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 5082264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363520).

5082264 is an abundant number, since it is smaller than the sum of its proper divisors (11644776).

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

5082264 is a wasteful number, since it uses less digits than its factorization.

5082264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5082264 is about 2254.3877217551. The cubic root of 5082264 is about 171.9302944516.

It can be divided in two parts, 508 and 2264, that added together give a palindrome (2772).

The spelling of 5082264 in words is "five million, eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 31 33 36 44 46 54 62 66 69 72 81 88 92 93 99 108 124 132 138 162 184 186 198 207 216 248 253 264 276 279 297 324 341 372 396 414 506 552 558 594 621 648 682 713 744 759 792 828 837 891 1012 1023 1116 1188 1242 1364 1426 1518 1656 1674 1782 1863 2024 2046 2139 2232 2277 2376 2484 2511 2728 2852 3036 3069 3348 3564 3726 4092 4278 4554 4968 5022 5704 6072 6138 6417 6696 6831 7128 7452 7843 8184 8556 9108 9207 10044 12276 12834 13662 14904 15686 17112 18216 18414 19251 20088 20493 23529 24552 25668 27324 27621 31372 36828 38502 40986 47058 51336 54648 55242 57753 62744 70587 73656 77004 81972 94116 110484 115506 141174 154008 163944 188232 211761 220968 231012 282348 423522 462024 564696 635283 847044 1270566 1694088 2541132 5082264