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201852028 = 22747163941
BaseRepresentation
bin11000000100000…
…00010001111100
3112001211010221001
430002000101330
5403133231103
632010220044
75000466610
oct1402002174
9461733831
10201852028
11a3a38464
1257724624
1332a85291
141cb45340
1512ac301d
hexc08047c

201852028 has 48 divisors (see below), whose sum is σ = 415263744. Its totient is φ = 84058560.

The previous prime is 201852023. The next prime is 201852041. The reversal of 201852028 is 820258102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 201851987 and 201852005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201852023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214038 + ... + 214978.

It is an arithmetic number, because the mean of its divisors is an integer number (8651328).

Almost surely, 2201852028 is an apocalyptic number.

201852028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201852028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207631872).

201852028 is an abundant number, since it is smaller than the sum of its proper divisors (213411716).

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

201852028 is a wasteful number, since it uses less digits than its factorization.

201852028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 201852028 is about 14207.4638130808. The cubic root of 201852028 is about 586.6031251486.

The spelling of 201852028 in words is "two hundred one million, eight hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 47 94 163 188 326 329 652 658 941 1141 1316 1882 2282 3764 4564 6587 7661 13174 15322 26348 30644 44227 53627 88454 107254 153383 176908 214508 306766 309589 613532 619178 1073681 1238356 2147362 4294724 7209001 14418002 28836004 50463007 100926014 201852028