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425140040 = 235131814517
BaseRepresentation
bin11001010101110…
…001111101001000
31002121222100111102
4121111301331020
51332313440130
6110104120532
713351426223
oct3125617510
91077870442
10425140040
111a8a87006
12ba466148
136a104470
144066a5ba
15274cc645
hex19571f48

425140040 has 64 divisors (see below), whose sum is σ = 1036067760. Its totient is φ = 156072960.

The previous prime is 425140031. The next prime is 425140057. The reversal of 425140040 is 40041524.

It can be written as a sum of positive squares in 8 ways, for example, as 13942756 + 411197284 = 3734^2 + 20278^2 .

It is a super-2 number, since 2×4251400402 = 361488107222403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 425139994 and 425140021.

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, 91862 + ... + 96378.

Almost surely, 2425140040 is an apocalyptic number.

425140040 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 425140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518033880).

425140040 is an abundant number, since it is smaller than the sum of its proper divisors (610927720).

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

425140040 is a wasteful number, since it uses less digits than its factorization.

425140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 425140040 is about 20618.9243172383. The cubic root of 425140040 is about 751.9298684031.

Adding to 425140040 its reverse (40041524), we get a palindrome (465181564).

The spelling of 425140040 in words is "four hundred twenty-five million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 3620 4517 4706 7240 9034 9412 11765 18068 18824 22585 23530 36136 45170 47060 58721 90340 94120 117442 180680 234884 293605 469768 587210 817577 1174420 1635154 2348840 3270308 4087885 6540616 8175770 10628501 16351540 21257002 32703080 42514004 53142505 85028008 106285010 212570020 425140040