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201497742 = 232294347191
BaseRepresentation
bin11000000001010…
…01110010001110
3112001011010221100
430000221302032
5403040411432
631554443530
74664462655
oct1400516216
9461133840
10201497742
11a3816266
12575935a6
133298cc44
141ca9219c
1512a5307c
hexc029c8e

201497742 has 96 divisors (see below), whose sum is σ = 474439680. Its totient is φ = 61669440.

The previous prime is 201497731. The next prime is 201497749. The reversal of 201497742 is 247794102.

It is a junction number, because it is equal to n+sod(n) for n = 201497697 and 201497706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201497749) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1054867 + ... + 1055057.

It is an arithmetic number, because the mean of its divisors is an integer number (4942080).

Almost surely, 2201497742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201497742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237219840).

201497742 is an abundant number, since it is smaller than the sum of its proper divisors (272941938).

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

201497742 is a wasteful number, since it uses less digits than its factorization.

201497742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 201497742 is about 14194.9900316978. The cubic root of 201497742 is about 586.2597267599.

The spelling of 201497742 in words is "two hundred one million, four hundred ninety-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 29 43 47 58 86 87 94 129 141 174 191 258 261 282 382 387 423 522 573 774 846 1146 1247 1363 1719 2021 2494 2726 3438 3741 4042 4089 5539 6063 7482 8178 8213 8977 11078 11223 12126 12267 16426 16617 17954 18189 22446 24534 24639 26931 33234 36378 49278 49851 53862 58609 73917 80793 99702 117218 147834 161586 175827 238177 260333 351654 386011 476354 520666 527481 714531 772022 780999 1054962 1158033 1429062 1561998 2143593 2316066 2342997 3474099 4287186 4685994 6948198 11194319 22388638 33582957 67165914 100748871 201497742