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149114688 = 2632632953
BaseRepresentation
bin10001110001101…
…00111101000000
3101101120210220020
420320310331000
5301133132223
622444013440
73460311462
oct1070647500
9341523806
10149114688
1177198088
1241b31280
1324b7bc58
1415b38132
15d1571e3
hex8e34f40

149114688 has 56 divisors (see below), whose sum is σ = 396166848. Its totient is φ = 49499136.

The previous prime is 149114671. The next prime is 149114759. The reversal of 149114688 is 886411941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49020 + ... + 51972.

It is an arithmetic number, because the mean of its divisors is an integer number (7074408).

Almost surely, 2149114688 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 149114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198083424).

149114688 is an abundant number, since it is smaller than the sum of its proper divisors (247052160).

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

149114688 is a wasteful number, since it uses less digits than its factorization.

149114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3221 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 149114688 is about 12211.2525156103. The cubic root of 149114688 is about 530.2819053273.

The spelling of 149114688 in words is "one hundred forty-nine million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 2953 3156 4208 5906 6312 8416 8859 11812 12624 16832 17718 23624 25248 35436 47248 50496 70872 94496 141744 188992 283488 566976 776639 1553278 2329917 3106556 4659834 6213112 9319668 12426224 18639336 24852448 37278672 49704896 74557344 149114688