Search a number
-
+
428375064 = 2331319127569
BaseRepresentation
bin11001100010000…
…111110000011000
31002212001201010010
4121202013300120
51334131000224
6110301321520
713421061615
oct3142076030
91085051103
10428375064
111aa896587
12bb5662a0
136a997a90
1440c6d50c
152791ae29
hex19887c18

428375064 has 128 divisors (see below), whose sum is σ = 1225728000. Its totient is φ = 123669504.

The previous prime is 428375041. The next prime is 428375089. The reversal of 428375064 is 460573824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752572 + ... + 753140.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2428375064 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 428375064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864000).

428375064 is an abundant number, since it is smaller than the sum of its proper divisors (797352936).

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

428375064 is a wasteful number, since it uses less digits than its factorization.

428375064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 428375064 is about 20697.2235819204. The cubic root of 428375064 is about 753.8322746534.

The spelling of 428375064 in words is "four hundred twenty-eight million, three hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 127 152 156 228 247 254 312 381 456 494 508 569 741 762 988 1016 1138 1482 1524 1651 1707 1976 2276 2413 2964 3048 3302 3414 4552 4826 4953 5928 6604 6828 7239 7397 9652 9906 10811 13208 13656 14478 14794 19304 19812 21622 22191 28956 29588 31369 32433 39624 43244 44382 57912 59176 62738 64866 72263 86488 88764 94107 125476 129732 140543 144526 177528 188214 216789 250952 259464 281086 289052 376428 421629 433578 562172 578104 752856 843258 867156 939419 1124344 1372997 1686516 1734312 1878838 2745994 2818257 3373032 3757676 4118991 5491988 5636514 7515352 8237982 10983976 11273028 16475964 17848961 22546056 32951928 35697922 53546883 71395844 107093766 142791688 214187532 428375064