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149217468 = 22323618863
BaseRepresentation
bin10001110010011…
…10000010111100
3101101210000212220
420321032002330
5301144424333
622450125340
73461220231
oct1071160274
9341700786
10149217468
1177258324
1241b80850
1324bb697a
1415b63788
15d1778b3
hex8e4e0bc

149217468 has 48 divisors (see below), whose sum is σ = 369309696. Its totient is φ = 46791360.

The previous prime is 149217457. The next prime is 149217479. The reversal of 149217468 is 864712941.

It is an interprime number because it is at equal distance from previous prime (149217457) and next prime (149217479).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12405 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (7693952).

Almost surely, 2149217468 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 149217468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184654848).

149217468 is an abundant number, since it is smaller than the sum of its proper divisors (220092228).

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

149217468 is a wasteful number, since it uses less digits than its factorization.

149217468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8952 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 149217468 is about 12215.4602041839. The cubic root of 149217468 is about 530.4037128155.

The spelling of 149217468 in words is "one hundred forty-nine million, two hundred seventeen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 4209 5612 8418 8863 16836 17726 26589 35452 53178 106356 203849 407698 540643 611547 815396 1081286 1223094 1621929 2162572 2446188 3243858 6487716 12434789 24869578 37304367 49739156 74608734 149217468