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148945050 = 23252479691
BaseRepresentation
bin10001110000010…
…11100010011010
3101101021012012100
420320023202122
5301112220200
622440224230
73456004062
oct1070134232
9341235170
10148945050
1177091691
1241a6b076
1324b1c987
1415ad23a2
15d121d00
hex8e0b89a

148945050 has 72 divisors (see below), whose sum is σ = 401581440. Its totient is φ = 39578400.

The previous prime is 148945037. The next prime is 148945057. The reversal of 148945050 is 50549841.

148945050 is a `hidden beast` number, since 148 + 9 + 4 + 505 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 148944996 and 148945014.

It is not an unprimeable number, because it can be changed into a prime (148945057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215205 + ... + 215895.

It is an arithmetic number, because the mean of its divisors is an integer number (5577520).

Almost surely, 2148945050 is an apocalyptic number.

148945050 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 148945050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200790720).

148945050 is an abundant number, since it is smaller than the sum of its proper divisors (252636390).

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

148945050 is a wasteful number, since it uses less digits than its factorization.

148945050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 148945050 is about 12204.3045684709. The cubic root of 148945050 is about 530.0807400431.

The spelling of 148945050 in words is "one hundred forty-eight million, nine hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 479 691 958 1382 1437 2073 2395 2874 3455 4146 4311 4790 6219 6910 7185 8622 10365 11975 12438 14370 17275 20730 21555 23950 31095 34550 35925 43110 51825 62190 71850 103650 107775 155475 215550 310950 330989 661978 992967 1654945 1985934 2978901 3309890 4964835 5957802 8274725 9929670 14894505 16549450 24824175 29789010 49648350 74472525 148945050