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427445760 = 293577951
BaseRepresentation
bin11001011110100…
…100111000000000
31002210022111100110
4121132210320000
51333411231020
6110225351320
713410141360
oct3136447000
91083274313
10427445760
111aa311365
12bb198540
136a730ab1
1440aaa9a0
15277d58e0
hex197a4e00

427445760 has 160 divisors (see below), whose sum is σ = 1561900032. Its totient is φ = 97689600.

The previous prime is 427445749. The next prime is 427445797. The reversal of 427445760 is 67544724.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 49785 + ... + 57735.

Almost surely, 2427445760 is an apocalyptic number.

427445760 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 427445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780950016).

427445760 is an abundant number, since it is smaller than the sum of its proper divisors (1134454272).

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

427445760 is an equidigital number, since it uses as much as digits as its factorization.

427445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 427445760 is about 20674.7614254675. The cubic root of 427445760 is about 753.2867662934.

The spelling of 427445760 in words is "four hundred twenty-seven million, four hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 7951 8960 10752 13440 15902 17920 23853 26880 31804 39755 47706 53760 55657 63608 79510 95412 111314 119265 127216 159020 166971 190824 222628 238530 254432 278285 318040 333942 381648 445256 477060 508864 556570 636080 667884 763296 834855 890512 954120 1017728 1113140 1272160 1335768 1526592 1669710 1781024 1908240 2035456 2226280 2544320 2671536 3053184 3339420 3562048 3816480 4070912 4452560 5088640 5343072 6106368 6678840 7124096 7632960 8905120 10177280 10686144 12212736 13357680 14248192 15265920 17810240 20354560 21372288 26715360 28496384 30531840 35620480 42744576 53430720 61063680 71240960 85489152 106861440 142481920 213722880 427445760