Search a number
-
+
426060480 = 26353471279
BaseRepresentation
bin11001011001010…
…010101011000000
31002200201010002210
4121121102223000
51333032413410
6110135542120
713362311556
oct3131225300
91080633083
10426060480
111a95555aa
12ba82a940
136a3673c1
1440829bd6
1527610220
hex19652ac0

426060480 has 112 divisors (see below), whose sum is σ = 1357701120. Its totient is φ = 113200128.

The previous prime is 426060473. The next prime is 426060517. The reversal of 426060480 is 84060624.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 332481 + ... + 333759.

Almost surely, 2426060480 is an apocalyptic number.

426060480 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 426060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678850560).

426060480 is an abundant number, since it is smaller than the sum of its proper divisors (931640640).

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

426060480 is a wasteful number, since it uses less digits than its factorization.

426060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 426060480 is about 20641.2325213394. The cubic root of 426060480 is about 752.4721269426.

The spelling of 426060480 in words is "four hundred twenty-six million, sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 347 480 694 960 1041 1279 1388 1735 2082 2558 2776 3470 3837 4164 5116 5205 5552 6395 6940 7674 8328 10232 10410 11104 12790 13880 15348 16656 19185 20464 20820 22208 25580 27760 30696 33312 38370 40928 41640 51160 55520 61392 66624 76740 81856 83280 102320 111040 122784 153480 166560 204640 245568 306960 333120 409280 443813 613920 887626 1227840 1331439 1775252 2219065 2662878 3550504 4438130 5325756 6657195 7101008 8876260 10651512 13314390 14202016 17752520 21303024 26628780 28404032 35505040 42606048 53257560 71010080 85212096 106515120 142020160 213030240 426060480