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201538896 = 24313714549
BaseRepresentation
bin11000000001100…
…11110101010000
3112001020020101120
430000303311100
5403043221041
631555402240
74665023646
oct1400636520
9461206346
10201538896
11a3844179
12575b3380
13329a58b0
141caa3196
1512a60366
hexc033d50

201538896 has 80 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 61125120.

The previous prime is 201538873. The next prime is 201538907. The reversal of 201538896 is 698835102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42030 + ... + 46578.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2201538896 is an apocalyptic number.

201538896 is a gapful number since it is divisible by the number (26) 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 201538896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

201538896 is an abundant number, since it is smaller than the sum of its proper divisors (367174704).

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

201538896 is a wasteful number, since it uses less digits than its factorization.

201538896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 201538896 is about 14196.4395536346. The cubic root of 201538896 is about 586.2996367033.

The spelling of 201538896 in words is "two hundred one million, five hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 4549 5538 7384 9098 11076 13647 14768 18196 22152 27294 36392 44304 54588 59137 72784 109176 118274 177411 218352 236548 322979 354822 473096 645958 709644 946192 968937 1291916 1419288 1937874 2583832 2838576 3875748 4198727 5167664 7751496 8397454 12596181 15502992 16794908 25192362 33589816 50384724 67179632 100769448 201538896