Search a number
-
+
425444880 = 243571571613
BaseRepresentation
bin11001010110111…
…100011000010000
31002122112211122210
4121112330120100
51332403214010
6110114432120
713354136040
oct3126743020
91078484583
10425444880
111a9175043
12ba592640
136a1b0143
1440709720
152753cb20
hex195bc610

425444880 has 160 divisors (see below), whose sum is σ = 1517831424. Its totient is φ = 96565248.

The previous prime is 425444879. The next prime is 425444897. The reversal of 425444880 is 88444524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262954 + ... + 264566.

Almost surely, 2425444880 is an apocalyptic number.

425444880 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 425444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758915712).

425444880 is an abundant number, since it is smaller than the sum of its proper divisors (1092386544).

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

425444880 is a wasteful number, since it uses less digits than its factorization.

425444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The square root of 425444880 is about 20626.3152307920. The cubic root of 425444880 is about 752.1095453061.

The spelling of 425444880 in words is "four hundred twenty-five million, four hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 157 168 210 240 280 314 336 420 471 560 628 785 840 942 1099 1256 1570 1613 1680 1884 2198 2355 2512 3140 3226 3297 3768 4396 4710 4839 5495 6280 6452 6594 7536 8065 8792 9420 9678 10990 11291 12560 12904 13188 16130 16485 17584 18840 19356 21980 22582 24195 25808 26376 32260 32970 33873 37680 38712 43960 45164 48390 52752 56455 64520 65940 67746 77424 87920 90328 96780 112910 129040 131880 135492 169365 180656 193560 225820 253241 263760 270984 338730 387120 451640 506482 541968 677460 759723 903280 1012964 1266205 1354920 1519446 1772687 2025928 2532410 2709840 3038892 3545374 3798615 4051856 5064820 5318061 6077784 7090748 7597230 8863435 10129640 10636122 12155568 14181496 15194460 17726870 20259280 21272244 26590305 28362992 30388920 35453740 42544488 53180610 60777840 70907480 85088976 106361220 141814960 212722440 425444880