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14768484 = 2232373733
BaseRepresentation
bin111000010101…
…100101100100
31000210022112220
4320111211210
512240042414
61244312340
7236346543
oct70254544
930708486
1014768484
118377865
124b426b0
1330a1163
141d6615a
15146aca9
hexe15964

14768484 has 48 divisors (see below), whose sum is σ = 36500352. Its totient is φ = 4637952.

The previous prime is 14768483. The next prime is 14768489. The reversal of 14768484 is 48486741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768483) by changing a digit.

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, 19782 + ... + 20514.

It is an arithmetic number, because the mean of its divisors is an integer number (760424).

Almost surely, 214768484 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 14768484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250176).

14768484 is an abundant number, since it is smaller than the sum of its proper divisors (21731868).

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

14768484 is a wasteful number, since it uses less digits than its factorization.

14768484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 14768484 is about 3842.9785323366. The cubic root of 14768484 is about 245.3458062801.

The spelling of 14768484 in words is "fourteen million, seven hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 733 876 1466 1679 2199 2932 3358 4398 5037 6716 8796 10074 16859 20148 33718 50577 53509 67436 101154 107018 160527 202308 214036 321054 642108 1230707 2461414 3692121 4922828 7384242 14768484