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146746242 = 236100649
BaseRepresentation
bin10001011111100…
…10101110000010
3101020010111000000
420233302232002
5300031334432
622321140430
73431215416
oct1057625602
9336114000
10146746242
117591a695
124118a716
132452cbc6
14156bcd46
15cd3a57c
hex8bf2b82

146746242 has 28 divisors (see below), whose sum is σ = 330031350. Its totient is φ = 48914928.

The previous prime is 146746217. The next prime is 146746247. The reversal of 146746242 is 242647641.

146746242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109181601 + 37564641 = 10449^2 + 6129^2 .

It is a super-2 number, since 2×1467462422 = 43068919082245128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146746197 and 146746206.

It is not an unprimeable number, because it can be changed into a prime (146746247) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 48867 + ... + 51782.

Almost surely, 2146746242 is an apocalyptic number.

146746242 is an abundant number, since it is smaller than the sum of its proper divisors (183285108).

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

146746242 is an equidigital number, since it uses as much as digits as its factorization.

146746242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100669 (or 100654 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 146746242 is about 12113.8863293330. The cubic root of 146746242 is about 527.4593510301.

The spelling of 146746242 in words is "one hundred forty-six million, seven hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 100649 201298 301947 603894 905841 1811682 2717523 5435046 8152569 16305138 24457707 48915414 73373121 146746242