Search a number
-
+
425834240 = 28513157163
BaseRepresentation
bin11001011000011…
…011011100000000
31002200021121202112
4121120123130000
51333003143430
6110131034452
713360350146
oct3130333400
91080247675
10425834240
111a9410627
12ba73ba28
136a2b8430
14407ab596
15275b8195
hex1961b700

425834240 has 144 divisors (see below), whose sum is σ = 1112246688. Its totient is φ = 155271168.

The previous prime is 425834219. The next prime is 425834249. The reversal of 425834240 is 42438524.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 425834197 and 425834206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425834249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2612399 + ... + 2612561.

Almost surely, 2425834240 is an apocalyptic number.

425834240 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 425834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556123344).

425834240 is an abundant number, since it is smaller than the sum of its proper divisors (686412448).

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

425834240 is a wasteful number, since it uses less digits than its factorization.

425834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 425834240 is about 20635.7515007329. The cubic root of 425834240 is about 752.3389146848.

The spelling of 425834240 in words is "four hundred twenty-five million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 157 160 163 208 256 260 314 320 326 416 520 628 640 652 785 815 832 1040 1256 1280 1304 1570 1630 1664 2041 2080 2119 2512 2608 3140 3260 3328 4082 4160 4238 5024 5216 6280 6520 8164 8320 8476 10048 10205 10432 10595 12560 13040 16328 16640 16952 20096 20410 20864 21190 25120 25591 26080 32656 33904 40192 40820 41728 42380 50240 51182 52160 65312 67808 81640 84760 100480 102364 104320 127955 130624 135616 163280 169520 200960 204728 208640 255910 261248 271232 326560 332683 339040 409456 511820 522496 542464 653120 665366 678080 818912 1023640 1306240 1330732 1356160 1637824 1663415 2047280 2612480 2661464 2712320 3275648 3326830 4094560 5322928 6551296 6653660 8189120 10645856 13307320 16378240 21291712 26614640 32756480 42583424 53229280 85166848 106458560 212917120 425834240