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149569728 = 26371167151
BaseRepresentation
bin10001110101001…
…00000011000000
3101102102221002120
420322210003000
5301242212403
622501444240
73464215230
oct1072440300
9342387076
10149569728
1177478a50
1242110680
1324cab0c9
1415c15cc0
15d1e6e53
hex8ea40c0

149569728 has 224 divisors, whose sum is σ = 504066048. Its totient is φ = 38016000.

The previous prime is 149569727. The next prime is 149569753. The reversal of 149569728 is 827965941.

149569728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1495697282 = 44742207067987968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149569727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990453 + ... + 990603.

Almost surely, 2149569728 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 149569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252033024).

149569728 is an abundant number, since it is smaller than the sum of its proper divisors (354496320).

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

149569728 is a wasteful number, since it uses less digits than its factorization.

149569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 149569728 is about 12229.8703182004. The cubic root of 149569728 is about 530.8207622434.

The spelling of 149569728 in words is "one hundred forty-nine million, five hundred sixty-nine thousand, seven hundred twenty-eight".