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14485152 = 2531122943
BaseRepresentation
bin110111010000…
…011010100000
31000020220220010
4313100122200
512202011102
61234244520
7234056523
oct67203240
930226803
1014485152
1181a3a00
124a26740
1330021c6
141cd0bba
151411d6c
hexdd06a0

14485152 has 144 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 4139520.

The previous prime is 14485151. The next prime is 14485169. The reversal of 14485152 is 25158441.

It is not an unprimeable number, because it can be changed into a prime (14485151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336843 + ... + 336885.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 214485152 is an apocalyptic number.

14485152 is a gapful number since it is divisible by the number (12) 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 14485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

14485152 is an abundant number, since it is smaller than the sum of its proper divisors (29755968).

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

14485152 is a wasteful number, since it uses less digits than its factorization.

14485152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 14485152 is about 3805.9364156538. The cubic root of 14485152 is about 243.7666855113.

Subtracting 14485152 from its reverse (25158441), we obtain a square (10673289 = 32672).

The spelling of 14485152 in words is "fourteen million, four hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 43 44 48 58 66 86 87 88 96 116 121 129 132 172 174 176 232 242 258 264 319 344 348 352 363 464 473 484 516 528 638 688 696 726 928 946 957 968 1032 1056 1247 1276 1376 1392 1419 1452 1892 1914 1936 2064 2494 2552 2784 2838 2904 3509 3741 3784 3828 3872 4128 4988 5104 5203 5676 5808 7018 7482 7568 7656 9976 10208 10406 10527 11352 11616 13717 14036 14964 15136 15312 15609 19952 20812 21054 22704 27434 28072 29928 30624 31218 39904 41151 41624 42108 45408 54868 56144 59856 62436 82302 83248 84216 109736 112288 119712 124872 150887 164604 166496 168432 219472 249744 301774 329208 336864 438944 452661 499488 603548 658416 905322 1207096 1316832 1810644 2414192 3621288 4828384 7242576 14485152