Search a number
-
+
428917680 = 2434566191
BaseRepresentation
bin11001100100001…
…100001110110000
31002220002021110000
4121210030032300
51334300331210
6110321110000
713425511602
oct3144141660
91086067400
10428917680
11200127224
12bb788300
136ab27a59
1440d71172
15279c6ac0
hex1990c3b0

428917680 has 100 divisors (see below), whose sum is σ = 1489717152. Its totient is φ = 114376320.

The previous prime is 428917679. The next prime is 428917703. The reversal of 428917680 is 86719824.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26616 + ... + 39575.

Almost surely, 2428917680 is an apocalyptic number.

428917680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428917680 is an abundant number, since it is smaller than the sum of its proper divisors (1060799472).

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

428917680 is a wasteful number, since it uses less digits than its factorization.

428917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66216 (or 66201 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 428917680 is about 20710.3278583416. The cubic root of 428917680 is about 754.1504295450.

The spelling of 428917680 in words is "four hundred twenty-eight million, nine hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 66191 132382 198573 264764 330955 397146 529528 595719 661910 794292 992865 1059056 1191438 1323820 1588584 1787157 1985730 2382876 2647640 2978595 3177168 3574314 3971460 4765752 5295280 5361471 5957190 7148628 7942920 8935785 9531504 10722942 11914380 14297256 15885840 17871570 21445884 23828760 26807355 28594512 35743140 42891768 47657520 53614710 71486280 85783536 107229420 142972560 214458840 428917680