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148824150 = 23521979661
BaseRepresentation
bin10001101111011…
…10000001010110
3101101001001100120
420313232001112
5301044333100
622433452410
73454661436
oct1067560126
9341031316
10148824150
1177009872
1241a11106
1324aa9937
1415aa02c6
15d0eb0a0
hex8dee056

148824150 has 96 divisors (see below), whose sum is σ = 394022400. Its totient is φ = 37065600.

The previous prime is 148824139. The next prime is 148824167. The reversal of 148824150 is 51428841.

148824150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224820 + ... + 225480.

It is an arithmetic number, because the mean of its divisors is an integer number (4104400).

Almost surely, 2148824150 is an apocalyptic number.

148824150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148824150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197011200).

148824150 is an abundant number, since it is smaller than the sum of its proper divisors (245198250).

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

148824150 is a wasteful number, since it uses less digits than its factorization.

148824150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 148824150 is about 12199.3503925414. The cubic root of 148824150 is about 529.9372774950.

The spelling of 148824150 in words is "one hundred forty-eight million, eight hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 79 95 114 150 158 190 237 285 395 474 475 570 661 790 950 1185 1322 1425 1501 1975 1983 2370 2850 3002 3305 3950 3966 4503 5925 6610 7505 9006 9915 11850 12559 15010 16525 19830 22515 25118 33050 37525 37677 45030 49575 52219 62795 75050 75354 99150 104438 112575 125590 156657 188385 225150 261095 313314 313975 376770 522190 627950 783285 941925 992161 1305475 1566570 1883850 1984322 2610950 2976483 3916425 4960805 5952966 7832850 9921610 14882415 24804025 29764830 49608050 74412075 148824150