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14998464 = 2632132003
BaseRepresentation
bin111001001101…
…101111000000
31001020000000200
4321031233000
512314422324
61253245200
7241325205
oct71155700
931200020
1014998464
118514628
125033800
133151a40
141dc5cac
1514b3ec9
hexe4dbc0

14998464 has 84 divisors (see below), whose sum is σ = 46320456. Its totient is φ = 4612608.

The previous prime is 14998463. The next prime is 14998469. The reversal of 14998464 is 46489941.

14998464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14998463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487 + ... + 8489.

It is an arithmetic number, because the mean of its divisors is an integer number (551434).

Almost surely, 214998464 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 14998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23160228).

14998464 is an abundant number, since it is smaller than the sum of its proper divisors (31321992).

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

14998464 is a wasteful number, since it uses less digits than its factorization.

14998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2021 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14998464 is about 3872.7850443834. The cubic root of 14998464 is about 246.6127891418.

The spelling of 14998464 in words is "fourteen million, nine hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2003 2496 3744 4006 6009 7488 8012 12018 16024 18027 24036 26039 32048 36054 48072 52078 64096 72108 78117 96144 104156 128192 144216 156234 192288 208312 234351 288432 312468 384576 416624 468702 576864 624936 833248 937404 1153728 1249872 1666496 1874808 2499744 3749616 4999488 7499232 14998464