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202001982 = 237132149191
BaseRepresentation
bin11000000101001…
…00111000111110
3112002002202121220
430002210320332
5403203030412
632013334210
75001663030
oct1402447076
9462082556
10202001982
11a4030096
1257797366
1332b08600
141cb83c50
1512b0268c
hexc0a4e3e

202001982 has 96 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 52640640.

The previous prime is 202001959. The next prime is 202001999. The reversal of 202001982 is 289100202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057507 + ... + 1057697.

It is an arithmetic number, because the mean of its divisors is an integer number (5270400).

Almost surely, 2202001982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202001982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

202001982 is an abundant number, since it is smaller than the sum of its proper divisors (303956418).

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

202001982 is a wasteful number, since it uses less digits than its factorization.

202001982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

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

The square root of 202001982 is about 14212.7401298975. The cubic root of 202001982 is about 586.7483498667.

It can be divided in two parts, 20 and 2001982, that added together give a palindrome (2002002).

The spelling of 202001982 in words is "two hundred two million, one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 149 169 182 191 273 298 338 382 447 507 546 573 894 1014 1043 1146 1183 1337 1937 2086 2366 2483 2674 3129 3549 3874 4011 4966 5811 6258 7098 7449 8022 11622 13559 14898 17381 25181 27118 28459 32279 34762 40677 50362 52143 56918 64558 75543 81354 85377 96837 104286 151086 170754 176267 193674 199213 225953 352534 369967 398426 451906 528801 597639 677859 739934 1057602 1109901 1195278 1355718 2219802 2589769 4809571 5179538 7769307 9619142 14428713 15538614 28857426 33666997 67333994 101000991 202001982