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146426049 = 34711171381
BaseRepresentation
bin10001011101001…
…00100011000001
3101012112012210000
420232210203001
5244441113144
622310230213
73425413050
oct1056444301
9335465700
10146426049
1175721070
1241055369
132444a243
1415638397
15ccc5769
hex8ba48c1

146426049 has 80 divisors (see below), whose sum is σ = 288959616. Its totient is φ = 71539200.

The previous prime is 146425987. The next prime is 146426053. The reversal of 146426049 is 940624641.

146426049 is a `hidden beast` number, since 1 + 4 + 6 + 42 + 604 + 9 = 666.

It is not a de Polignac number, because 146426049 - 29 = 146425537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146426099) 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 79 ways as a sum of consecutive naturals, for example, 105339 + ... + 106719.

Almost surely, 2146426049 is an apocalyptic number.

It is an amenable number.

146426049 is a deficient number, since it is larger than the sum of its proper divisors (142533567).

146426049 is a wasteful number, since it uses less digits than its factorization.

146426049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146426049 is about 12100.6631636452. The cubic root of 146426049 is about 527.0754416492.

The spelling of 146426049 in words is "one hundred forty-six million, four hundred twenty-six thousand, forty-nine".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 153 187 189 231 297 357 459 561 567 693 891 1071 1309 1377 1381 1683 2079 3213 3927 4143 5049 6237 9639 9667 11781 12429 15147 15191 23477 29001 35343 37287 45573 70431 87003 106029 106337 111861 136719 164339 211293 258247 261009 319011 410157 493017 633879 774741 783027 957033 1230471 1479051 1807729 1901637 2324223 2871099 4437153 5423187 6972669 8613297 13311459 16269561 20918007 48808683 146426049