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252046420 = 2251723167193
BaseRepresentation
bin11110000010111…
…10110001010100
3122120021021200121
433001132301110
51004010441140
641002121324
76150234133
oct1701366124
9576237617
10252046420
1111a30122a
12704b0244
13402aacc2
142568d91a
15171da64a
hexf05ec54

252046420 has 96 divisors (see below), whose sum is σ = 591349248. Its totient is φ = 89751552.

The previous prime is 252046373. The next prime is 252046427. The reversal of 252046420 is 24640252.

252046420 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 (252046427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305844 + ... + 1306036.

It is an arithmetic number, because the mean of its divisors is an integer number (6159888).

Almost surely, 2252046420 is an apocalyptic number.

252046420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252046420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295674624).

252046420 is an abundant number, since it is smaller than the sum of its proper divisors (339302828).

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

252046420 is a wasteful number, since it uses less digits than its factorization.

252046420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 252046420 is about 15875.9698916318. The cubic root of 252046420 is about 631.6747411692.

Adding to 252046420 its reverse (24640252), we get a palindrome (276686672).

The spelling of 252046420 in words is "two hundred fifty-two million, forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 167 170 193 230 334 340 386 391 460 668 772 782 835 965 1564 1670 1930 1955 2839 3281 3340 3841 3860 3910 4439 5678 6562 7682 7820 8878 11356 13124 14195 15364 16405 17756 19205 22195 28390 32231 32810 38410 44390 56780 64462 65297 65620 75463 76820 88780 128924 130594 150926 161155 261188 301852 322310 326485 377315 547927 644620 652970 741313 754630 1095854 1305940 1482626 1509260 2191708 2739635 2965252 3706565 5479270 7413130 10958540 12602321 14826260 25204642 50409284 63011605 126023210 252046420