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146194464 = 2531329011
BaseRepresentation
bin10001011011011…
…00000000100000
3101012002110002210
420231230000200
5244411210324
622301242120
73423426633
oct1055540040
9335073083
10146194464
1175583079
1240b63340
1324398a00
14155b7c1a
15cc7bd29
hex8b6c020

146194464 has 72 divisors (see below), whose sum is σ = 415597392. Its totient is φ = 44977920.

The previous prime is 146194429. The next prime is 146194483. The reversal of 146194464 is 464491641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11719 + ... + 20729.

It is an arithmetic number, because the mean of its divisors is an integer number (5772186).

Almost surely, 2146194464 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 146194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207798696).

146194464 is an abundant number, since it is smaller than the sum of its proper divisors (269402928).

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

146194464 is a wasteful number, since it uses less digits than its factorization.

146194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9029 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 146194464 is about 12091.0902734203. The cubic root of 146194464 is about 526.7974237820.

The spelling of 146194464 in words is "one hundred forty-six million, one hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 9011 16224 18022 27033 36044 54066 72088 108132 117143 144176 216264 234286 288352 351429 432528 468572 702858 865056 937144 1405716 1522859 1874288 2811432 3045718 3748576 4568577 5622864 6091436 9137154 11245728 12182872 18274308 24365744 36548616 48731488 73097232 146194464