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201593742 = 2372977069
BaseRepresentation
bin11000000010000…
…01001110001110
3112001100000121220
430001001032032
5403101444432
632000504210
74665342600
oct1401011616
9461300556
10201593742
11a38813a9
125761b066
13329c484c
141cab9170
1512a7172c
hexc04138e

201593742 has 48 divisors (see below), whose sum is σ = 473916240. Its totient is φ = 56996352.

The previous prime is 201593741. The next prime is 201593747. The reversal of 201593742 is 247395102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201593741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24984 + ... + 32052.

It is an arithmetic number, because the mean of its divisors is an integer number (9873255).

Almost surely, 2201593742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201593742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236958120).

201593742 is an abundant number, since it is smaller than the sum of its proper divisors (272322498).

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

201593742 is a wasteful number, since it uses less digits than its factorization.

201593742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 201593742 is about 14198.3711037569. The cubic root of 201593742 is about 586.3528163028.

The spelling of 201593742 in words is "two hundred one million, five hundred ninety-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 147 194 291 294 582 679 1358 2037 4074 4753 7069 9506 14138 14259 21207 28518 42414 49483 98966 148449 296898 346381 685693 692762 1039143 1371386 2057079 2078286 4114158 4799851 9599702 14399553 28799106 33598957 67197914 100796871 201593742