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427346928 = 24341991657
BaseRepresentation
bin11001011110001…
…100101111110000
31002210010110210000
4121132030233300
51333400100203
6110223310000
713406250261
oct3136145760
91083113700
10427346928
111aa254088
12bb14b300
136a6c7b08
1440a82968
15277b64a3
hex1978cbf0

427346928 has 100 divisors (see below), whose sum is σ = 1243831600. Its totient is φ = 141647616.

The previous prime is 427346921. The next prime is 427346957. The reversal of 427346928 is 829643724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427346921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257076 + ... + 258732.

It is an arithmetic number, because the mean of its divisors is an integer number (12438316).

Almost surely, 2427346928 is an apocalyptic number.

427346928 is a gapful number since it is divisible by the number (48) 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 427346928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621915800).

427346928 is an abundant number, since it is smaller than the sum of its proper divisors (816484672).

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

427346928 is a wasteful number, since it uses less digits than its factorization.

427346928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1861 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 427346928 is about 20672.3711266995. The cubic root of 427346928 is about 753.2287046762.

The spelling of 427346928 in words is "four hundred twenty-seven million, three hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 324 398 432 597 648 796 1194 1296 1592 1657 1791 2388 3184 3314 3582 4776 4971 5373 6628 7164 9552 9942 10746 13256 14328 14913 16119 19884 21492 26512 28656 29826 32238 39768 42984 44739 59652 64476 79536 85968 89478 119304 128952 134217 178956 238608 257904 268434 329743 357912 536868 659486 715824 989229 1073736 1318972 1978458 2147472 2637944 2967687 3956916 5275888 5935374 7913832 8903061 11870748 15827664 17806122 23741496 26709183 35612244 47482992 53418366 71224488 106836732 142448976 213673464 427346928