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14808144 = 24313191249
BaseRepresentation
bin111000011111…
…010001010000
31000212022221210
4320133101100
512242330034
61245220120
7236603301
oct70372120
930768853
1014808144
1183a463a
124b61640
1330b6220
141d767a8
1514778e9
hexe1f450

14808144 has 80 divisors (see below), whose sum is σ = 43400000. Its totient is φ = 4313088.

The previous prime is 14808137. The next prime is 14808151. The reversal of 14808144 is 44180841.

It is an interprime number because it is at equal distance from previous prime (14808137) and next prime (14808151).

It is a super-2 number, since 2×148081442 = 438562257449472, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11232 + ... + 12480.

It is an arithmetic number, because the mean of its divisors is an integer number (542500).

Almost surely, 214808144 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 14808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700000).

14808144 is an abundant number, since it is smaller than the sum of its proper divisors (28591856).

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

14808144 is a wasteful number, since it uses less digits than its factorization.

14808144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 14808144 is about 3848.1351327624. The cubic root of 14808144 is about 245.5652311372.

Adding to 14808144 its reverse (44180841), we get a palindrome (58988985).

The spelling of 14808144 in words is "fourteen million, eight hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1249 1482 1976 2498 2964 3747 3952 4996 5928 7494 9992 11856 14988 16237 19984 23731 29976 32474 47462 48711 59952 64948 71193 94924 97422 129896 142386 189848 194844 259792 284772 308503 379696 389688 569544 617006 779376 925509 1139088 1234012 1851018 2468024 3702036 4936048 7404072 14808144