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5814952 = 23111321723
BaseRepresentation
bin10110001011101010101000
3101221102121121
4112023222220
52442034302
6324345024
7100266133
oct26135250
911842547
105814952
113311950
121b45174
131287a00
14ab521a
1579ce37
hex58baa8

5814952 has 96 divisors (see below), whose sum is σ = 14230080. Its totient is φ = 2196480.

The previous prime is 5814937. The next prime is 5814967. The reversal of 5814952 is 2594185.

It is an interprime number because it is at equal distance from previous prime (5814937) and next prime (5814967).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252813 + ... + 252835.

It is an arithmetic number, because the mean of its divisors is an integer number (148230).

Almost surely, 25814952 is an apocalyptic number.

5814952 is a gapful number since it is divisible by the number (52) 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 5814952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115040).

5814952 is an abundant number, since it is smaller than the sum of its proper divisors (8415128).

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

5814952 is a wasteful number, since it uses less digits than its factorization.

5814952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 5814952 is about 2411.4211577408. The cubic root of 5814952 is about 179.8244378755.

The spelling of 5814952 in words is "five million, eight hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 17 22 23 26 34 44 46 52 68 88 92 104 136 143 169 184 187 221 253 286 299 338 374 391 442 506 572 598 676 748 782 884 1012 1144 1196 1352 1496 1564 1768 1859 2024 2392 2431 2873 3128 3289 3718 3887 4301 4862 5083 5746 6578 7436 7774 8602 9724 10166 11492 13156 14872 15548 17204 19448 20332 22984 26312 31096 31603 34408 40664 42757 55913 63206 66079 85514 111826 126412 132158 171028 223652 252824 264316 342056 447304 528632 726869 1453738 2907476 5814952