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9978493 = 73759653
BaseRepresentation
bin100110000100…
…001001111101
3200202221220211
4212010021331
510023302433
6553512421
7150546550
oct46041175
920687824
109978493
1156a5a98
123412711
1320b4b45
14147a697
15d218cd
hex98427d

9978493 has 16 divisors (see below), whose sum is σ = 11928960. Its totient is φ = 8168256.

The previous prime is 9978461. The next prime is 9978547. The reversal of 9978493 is 3948799.

It is a cyclic number.

It is not a de Polignac number, because 9978493 - 25 = 9978461 is a prime.

It is a d-powerful number, because it can be written as 9 + 9 + 77 + 83 + 411 + 97 + 311 .

It is a Duffinian number.

Its product of digits (489888) is a multiple of the sum of its prime divisors (756).

9978493 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9178493) 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, 14955 + ... + 15607.

It is an arithmetic number, because the mean of its divisors is an integer number (745560).

Almost surely, 29978493 is an apocalyptic number.

It is an amenable number.

9978493 is a deficient number, since it is larger than the sum of its proper divisors (1950467).

9978493 is a wasteful number, since it uses less digits than its factorization.

9978493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its digits is 489888, while the sum is 49.

The square root of 9978493 is about 3158.8752745241. The cubic root of 9978493 is about 215.2889067215.

The spelling of 9978493 in words is "nine million, nine hundred seventy-eight thousand, four hundred ninety-three".

Divisors: 1 7 37 59 259 413 653 2183 4571 15281 24161 38527 169127 269689 1425499 9978493