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149217728 = 2611792683
BaseRepresentation
bin10001110010011…
…10000111000000
3101101210001020112
420321032013000
5301144431403
622450130452
73461221052
oct1071160700
9341701215
10149217728
1177258540
1241b80a28
1324bb6b1a
1415b638d2
15d1779d8
hex8e4e1c0

149217728 has 56 divisors (see below), whose sum is σ = 327233280. Its totient is φ = 66942720.

The previous prime is 149217727. The next prime is 149217763. The reversal of 149217728 is 827712941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149217727) 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 7 ways as a sum of consecutive naturals, for example, 54275 + ... + 56957.

Almost surely, 2149217728 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 149217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163616640).

149217728 is an abundant number, since it is smaller than the sum of its proper divisors (178015552).

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

149217728 is a wasteful number, since it uses less digits than its factorization.

149217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2775 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 149217728 is about 12215.4708464308. The cubic root of 149217728 is about 530.4040208779.

The spelling of 149217728 in words is "one hundred forty-nine million, two hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 2683 3476 5056 5366 6952 10732 13904 21464 27808 29513 42928 55616 59026 85856 118052 171712 211957 236104 423914 472208 847828 944416 1695656 1888832 2331527 3391312 4663054 6782624 9326108 13565248 18652216 37304432 74608864 149217728