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202550742 = 232234111933
BaseRepresentation
bin11000001001010…
…10110111010110
3112010010122101100
430010222313112
5403323110432
632033210530
75006436642
oct1404526726
9463118340
10202550742
11a4375409
1257a00a46
1332c6b314
141cc87c22
1512bb007c
hexc12add6

202550742 has 48 divisors (see below), whose sum is σ = 469149408. Its totient is φ = 63000960.

The previous prime is 202550737. The next prime is 202550743. The reversal of 202550742 is 247055202.

202550742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202550743) 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, 11008 + ... + 22940.

It is an arithmetic number, because the mean of its divisors is an integer number (9773946).

Almost surely, 2202550742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202550742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234574704).

202550742 is an abundant number, since it is smaller than the sum of its proper divisors (266598666).

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

202550742 is a wasteful number, since it uses less digits than its factorization.

202550742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12005 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 202550742 is about 14232.0322512282. The cubic root of 202550742 is about 587.2791910207.

The spelling of 202550742 in words is "two hundred two million, five hundred fifty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 11933 16974 23866 35799 71598 107397 214794 274459 489253 548918 823377 978506 1467759 1646754 2470131 2935518 4403277 4940262 8806554 11252819 22505638 33758457 67516914 101275371 202550742