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2040435252 = 2233314712967
BaseRepresentation
bin111100110011110…
…1001001000110100
312021012102211222000
41321213221020310
513134322412002
6534245335300
7101364261552
oct17147511064
95235384860
102040435252
11957855229
1248b407530
1326696404b
14154dc2bd2
15be1ed61c
hex799e9234

2040435252 has 96 divisors (see below), whose sum is σ = 5577277440. Its totient is φ = 644150880.

The previous prime is 2040435247. The next prime is 2040435301. The reversal of 2040435252 is 2525340402.

It is a happy number.

2040435252 is a `hidden beast` number, since 2 + 0 + 404 + 3 + 5 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150873 + ... + 163839.

It is an arithmetic number, because the mean of its divisors is an integer number (58096640).

Almost surely, 22040435252 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 2040435252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788638720).

2040435252 is an abundant number, since it is smaller than the sum of its proper divisors (3536842188).

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

2040435252 is a wasteful number, since it uses less digits than its factorization.

2040435252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2040435252 is about 45171.1772261915. The cubic root of 2040435252 is about 1268.3553331824.

Adding to 2040435252 its reverse (2525340402), we get a palindrome (4565775654).

The spelling of 2040435252 in words is "two billion, forty million, four hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 279 282 372 423 558 564 837 846 1116 1269 1457 1674 1692 2538 2914 3348 4371 5076 5828 8742 12967 13113 17484 25934 26226 38901 39339 51868 52452 77802 78678 116703 155604 157356 233406 350109 401977 466812 609449 700218 803954 1205931 1218898 1400436 1607908 1828347 2411862 2437796 3617793 3656694 4823724 5485041 7235586 7313388 10853379 10970082 14471172 16455123 18892919 21706758 21940164 32910246 37785838 43413516 56678757 65820492 75571676 113357514 170036271 226715028 340072542 510108813 680145084 1020217626 2040435252