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4252040 = 2351321737
BaseRepresentation
bin10000001110000110001000
322000000200222
4100032012020
52042031130
6231045212
751066422
oct20160610
98000628
104252040
112444691
121510808
13b5b500
147c9812
1558ece5
hex40e188

4252040 has 96 divisors (see below), whose sum is σ = 11265480. Its totient is φ = 1437696.

The previous prime is 4252037. The next prime is 4252051. The reversal of 4252040 is 402524.

4252040 = T75 + T76 + ... + T295.

4252040 = 3112 + 3122 + ... + 3492.

It can be written as a sum of positive squares in 12 ways, for example, as 386884 + 3865156 = 622^2 + 1966^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114902 + ... + 114938.

Almost surely, 24252040 is an apocalyptic number.

4252040 is a gapful number since it is divisible by the number (40) 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 4252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632740).

4252040 is an abundant number, since it is smaller than the sum of its proper divisors (7013440).

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

4252040 is a wasteful number, since it uses less digits than its factorization.

4252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4252040 is about 2062.0475261254. The cubic root of 4252040 is about 162.0065028127.

Adding to 4252040 its reverse (402524), we get a palindrome (4654564).

The spelling of 4252040 in words is "four million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 37 40 52 65 68 74 85 104 130 136 148 169 170 185 221 260 296 338 340 370 442 481 520 629 676 680 740 845 884 962 1105 1258 1352 1480 1690 1768 1924 2210 2405 2516 2873 3145 3380 3848 4420 4810 5032 5746 6253 6290 6760 8177 8840 9620 11492 12506 12580 14365 16354 19240 22984 25012 25160 28730 31265 32708 40885 50024 57460 62530 65416 81770 106301 114920 125060 163540 212602 250120 327080 425204 531505 850408 1063010 2126020 4252040