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149428422 = 233111337523
BaseRepresentation
bin10001110100000…
…01100011000110
3101102011202021000
420322001203012
5301223202142
622454434130
73463056243
oct1072014306
9342152230
10149428422
1177391870
1242062946
1324c5b9b0
1415bba5ca
15d1ba14c
hex8e818c6

149428422 has 128 divisors (see below), whose sum is σ = 401425920. Its totient is φ = 40590720.

The previous prime is 149428381. The next prime is 149428423. The reversal of 149428422 is 224824941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149428423) 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 63 ways as a sum of consecutive naturals, for example, 285453 + ... + 285975.

It is an arithmetic number, because the mean of its divisors is an integer number (3136140).

Almost surely, 2149428422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149428422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200712960).

149428422 is an abundant number, since it is smaller than the sum of its proper divisors (251997498).

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

149428422 is a wasteful number, since it uses less digits than its factorization.

149428422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 149428422 is about 12224.0918681103. The cubic root of 149428422 is about 530.6535452685.

The spelling of 149428422 in words is "one hundred forty-nine million, four hundred twenty-eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 99 111 117 143 198 222 234 286 297 333 351 407 429 481 523 594 666 702 814 858 962 999 1046 1221 1287 1443 1569 1998 2442 2574 2886 3138 3663 3861 4329 4707 5291 5753 6799 7326 7722 8658 9414 10582 10989 11506 12987 13598 14121 15873 17259 19351 20397 21978 25974 28242 31746 34518 38702 40794 47619 51777 58053 61191 74789 95238 103554 116106 122382 142857 149578 155331 174159 183573 212861 224367 251563 285714 310662 348318 367146 425722 448734 503126 522477 638583 673101 754689 1044954 1277166 1346202 1509378 1915749 2019303 2264067 2767193 3831498 4038606 4528134 5534386 5747247 6792201 8301579 11494494 13584402 16603158 24904737 49809474 74714211 149428422