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201090048 = 210367977
BaseRepresentation
bin10111111110001…
…10010000000000
3112000101102200120
423333012100000
5402434340143
631542020240
74661144235
oct1377062000
9460342616
10201090048
11a3567a25
1257417680
13328794c3
141c9c778c
15129c2383
hexbfc6400

201090048 has 88 divisors (see below), whose sum is σ = 544534752. Its totient is φ = 65961984.

The previous prime is 201090047. The next prime is 201090061. The reversal of 201090048 is 840090102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201090041) 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, 205336 + ... + 206312.

Almost surely, 2201090048 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 201090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272267376).

201090048 is an abundant number, since it is smaller than the sum of its proper divisors (343444704).

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

201090048 is an equidigital number, since it uses as much as digits as its factorization.

201090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201090048 is about 14180.6222712545. The cubic root of 201090048 is about 585.8640631775.

The spelling of 201090048 in words is "two hundred one million, ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 977 1024 1072 1536 1608 1954 2144 2931 3072 3216 3908 4288 5862 6432 7816 8576 11724 12864 15632 17152 23448 25728 31264 34304 46896 51456 62528 65459 68608 93792 102912 125056 130918 187584 196377 205824 250112 261836 375168 392754 500224 523672 750336 785508 1000448 1047344 1500672 1571016 2094688 3001344 3142032 4189376 6284064 8378752 12568128 16757504 25136256 33515008 50272512 67030016 100545024 201090048