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428914212 = 223233797433
BaseRepresentation
bin11001100100001…
…011011000100100
31002220002002200120
4121210023120210
51334300223322
6110321041540
713425465516
oct3144133044
91086062616
10428914212
11200124661
12bb7862b0
136ab262bc
1440d6dbb6
15279c5a5c
hex1990b624

428914212 has 96 divisors (see below), whose sum is σ = 1086097152. Its totient is φ = 131383296.

The previous prime is 428914193. The next prime is 428914219. The reversal of 428914212 is 212419824.

It is not an unprimeable number, because it can be changed into a prime (428914219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990348 + ... + 990780.

It is an arithmetic number, because the mean of its divisors is an integer number (11313512).

Almost surely, 2428914212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428914212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543048576).

428914212 is an abundant number, since it is smaller than the sum of its proper divisors (657182940).

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

428914212 is a wasteful number, since it uses less digits than its factorization.

428914212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 428914212 is about 20710.2441318300. The cubic root of 428914212 is about 754.1483969866.

The spelling of 428914212 in words is "four hundred twenty-eight million, nine hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 97 111 138 148 194 222 276 291 388 433 444 582 851 866 1164 1299 1702 1732 2231 2553 2598 3404 3589 4462 5106 5196 6693 7178 8924 9959 10212 10767 13386 14356 16021 19918 21534 26772 29877 32042 39836 42001 43068 48063 59754 64084 82547 84002 96126 119508 126003 165094 168004 192252 247641 252006 330188 368483 495282 504012 736966 966023 990564 1105449 1473932 1554037 1932046 2210898 2898069 3108074 3864092 4421796 4662111 5796138 6216148 9324222 11592276 18648444 35742851 71485702 107228553 142971404 214457106 428914212