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2021743936 = 26375389181
BaseRepresentation
bin111100010000001…
…0101110101000000
312012220021020022001
41320200111311000
513120031301221
6532340553344
7101046353122
oct17040256500
95186236261
102021743936
11948249163
124850b2854
13262b1b4b4
14152719212
15bc75a391
hex78815d40

2021743936 has 112 divisors (see below), whose sum is σ = 4268693520. Its totient is φ = 948879360.

The previous prime is 2021743879. The next prime is 2021743981. The reversal of 2021743936 is 6393471202.

It can be written as a sum of positive squares in 8 ways, for example, as 53934336 + 1967809600 = 7344^2 + 44360^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2021743895 and 2021743904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11169766 + ... + 11169946.

It is an arithmetic number, because the mean of its divisors is an integer number (38113335).

Almost surely, 22021743936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134346760).

2021743936 is an abundant number, since it is smaller than the sum of its proper divisors (2246949584).

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

2021743936 is a wasteful number, since it uses less digits than its factorization.

2021743936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 2021743936 is about 44963.8069562621. The cubic root of 2021743936 is about 1264.4705426455.

The spelling of 2021743936 in words is "two billion, twenty-one million, seven hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 53 64 74 89 106 148 178 181 212 296 356 362 424 592 712 724 848 1184 1424 1448 1696 1961 2368 2848 2896 3293 3392 3922 4717 5696 5792 6586 6697 7844 9434 9593 11584 13172 13394 15688 16109 18868 19186 26344 26788 31376 32218 37736 38372 52688 53576 62752 64436 75472 76744 105376 107152 125504 128872 150944 153488 174529 210752 214304 257744 301888 306976 349058 354941 428608 515488 596033 613952 698116 709882 853777 1030976 1192066 1396232 1419764 1707554 2384132 2792464 2839528 3415108 4768264 5584928 5679056 6830216 9536528 11169856 11358112 13660432 19073056 22716224 27320864 31589749 38146112 54641728 63179498 126358996 252717992 505435984 1010871968 2021743936