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146738977 = 7211614463
BaseRepresentation
bin10001011111100…
…00111100100001
3101020010010000221
420233300330201
5300031121402
622321043041
73431155300
oct1057607441
9336103027
10146738977
1175915190
1241186481
13245297c8
14156ba437
15cd38337
hex8bf0f21

146738977 has 24 divisors (see below), whose sum is σ = 189309312. Its totient is φ = 112442400.

The previous prime is 146738971. The next prime is 146738987. The reversal of 146738977 is 779837641.

146738977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-146738977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146738971) 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, 30648 + ... + 35110.

It is an arithmetic number, because the mean of its divisors is an integer number (7887888).

Almost surely, 2146738977 is an apocalyptic number.

It is an amenable number.

146738977 is a deficient number, since it is larger than the sum of its proper divisors (42570335).

146738977 is a wasteful number, since it uses less digits than its factorization.

146738977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4542 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 52.

The square root of 146738977 is about 12113.5864631413. The cubic root of 146738977 is about 527.4506465360.

The spelling of 146738977 in words is "one hundred forty-six million, seven hundred thirty-eight thousand, nine hundred seventy-seven".

Divisors: 1 7 11 49 61 77 427 539 671 2989 4463 4697 31241 32879 49093 218687 272243 343651 1905701 2405557 2994673 13339907 20962711 146738977