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146852864 = 210612351
BaseRepresentation
bin10001100000011…
…00110000000000
3101020022220020222
420300030300000
5300043242424
622323322212
73432141314
oct1060146000
9336286228
10146852864
1175992804
1241220368
13245695b2
1415709b44
15cd5be5e
hex8c0cc00

146852864 has 44 divisors (see below), whose sum is σ = 298501728. Its totient is φ = 72192000.

The previous prime is 146852831. The next prime is 146852873. The reversal of 146852864 is 468258641.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61289 + ... + 63639.

Almost surely, 2146852864 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 146852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250864).

146852864 is an abundant number, since it is smaller than the sum of its proper divisors (151648864).

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

146852864 is an equidigital number, since it uses as much as digits as its factorization.

146852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2414 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 146852864 is about 12118.2863474998. The cubic root of 146852864 is about 527.5870661823.

The spelling of 146852864 in words is "one hundred forty-six million, eight hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2351 3904 4702 7808 9404 15616 18808 31232 37616 62464 75232 143411 150464 286822 300928 573644 601856 1147288 1203712 2294576 2407424 4589152 9178304 18356608 36713216 73426432 146852864