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148968800 = 2552186211
BaseRepresentation
bin10001110000100…
…01010101100000
3101101022101202222
420320101111200
5301114000200
622440530212
73456133241
oct1070212540
9341271688
10148968800
11770a8512
1241a80968
1324b2a726
1415adacc8
15d128d85
hex8e11560

148968800 has 36 divisors (see below), whose sum is σ = 363672036. Its totient is φ = 59587200.

The previous prime is 148968793. The next prime is 148968829. The reversal of 148968800 is 8869841.

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 5 ways as a sum of consecutive naturals, for example, 92306 + ... + 93905.

It is an arithmetic number, because the mean of its divisors is an integer number (10102001).

Almost surely, 2148968800 is an apocalyptic number.

148968800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148968800 is an abundant number, since it is smaller than the sum of its proper divisors (214703236).

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

148968800 is a wasteful number, since it uses less digits than its factorization.

148968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186231 (or 186218 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 148968800 is about 12205.2775470286. The cubic root of 148968800 is about 530.1089131814.

The spelling of 148968800 in words is "one hundred forty-eight million, nine hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 186211 372422 744844 931055 1489688 1862110 2979376 3724220 4655275 5958752 7448440 9310550 14896880 18621100 29793760 37242200 74484400 148968800