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149488144 = 24131275659
BaseRepresentation
bin10001110100100…
…00001000010000
3101102021210011221
420322100020100
5301232110034
622500014424
73463425331
oct1072201020
9342253157
10149488144
1177422723
1242091414
1324c7cc30
1415bd4288
15d1ccbb4
hex8e90210

149488144 has 40 divisors (see below), whose sum is σ = 314424320. Its totient is φ = 68439168.

The previous prime is 149488139. The next prime is 149488147. The reversal of 149488144 is 441884941.

It is a self number, because there is not a number n which added to its sum of digits gives 149488144.

It is not an unprimeable number, because it can be changed into a prime (149488147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23587 + ... + 29245.

It is an arithmetic number, because the mean of its divisors is an integer number (7860608).

Almost surely, 2149488144 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 149488144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157212160).

149488144 is an abundant number, since it is smaller than the sum of its proper divisors (164936176).

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

149488144 is a wasteful number, since it uses less digits than its factorization.

149488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5801 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 149488144 is about 12226.5344231307. The cubic root of 149488144 is about 530.7242312185.

The spelling of 149488144 in words is "one hundred forty-nine million, four hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1651 2032 3302 5659 6604 11318 13208 22636 26416 45272 73567 90544 147134 294268 588536 718693 1177072 1437386 2874772 5749544 9343009 11499088 18686018 37372036 74744072 149488144