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425132240 = 245133371213
BaseRepresentation
bin11001010101110…
…000000011010000
31002121221221210112
4121111300003100
51332313212430
6110104020452
713351364411
oct3125600320
91077857715
10425132240
111a8a81165
12ba461728
136a100a50
1440667808
15274ca195
hex195700d0

425132240 has 80 divisors (see below), whose sum is σ = 1068504528. Its totient is φ = 156377088.

The previous prime is 425132237. The next prime is 425132251. The reversal of 425132240 is 42231524.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 166823056 + 258309184 = 12916^2 + 16072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349874 + ... + 351086.

Almost surely, 2425132240 is an apocalyptic number.

425132240 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 425132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534252264).

425132240 is an abundant number, since it is smaller than the sum of its proper divisors (643372288).

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

425132240 is a wasteful number, since it uses less digits than its factorization.

425132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 425132240 is about 20618.7351697431. The cubic root of 425132240 is about 751.9252698487.

Adding to 425132240 its reverse (42231524), we get a palindrome (467363764).

The spelling of 425132240 in words is "four hundred twenty-five million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 337 520 674 1040 1213 1348 1685 2426 2696 3370 4381 4852 5392 6065 6740 8762 9704 12130 13480 15769 17524 19408 21905 24260 26960 31538 35048 43810 48520 63076 70096 78845 87620 97040 126152 157690 175240 252304 315380 350480 408781 630760 817562 1261520 1635124 2043905 3270248 4087810 5314153 6540496 8175620 10628306 16351240 21256612 26570765 32702480 42513224 53141530 85026448 106283060 212566120 425132240