Search a number
-
+
428471424 = 2733123979
BaseRepresentation
bin11001100010011…
…111010010000000
31002212020121022000
4121202133102000
51334142041144
6110303344000
713421642553
oct3142372200
91085217260
10428471424
111aa951a17
12bb5b2000
136a9cc8b4
1440c9669a
1527939769
hex1989f480

428471424 has 64 divisors (see below), whose sum is σ = 1264596000. Its totient is φ = 142822656.

The previous prime is 428471423. The next prime is 428471453. The reversal of 428471424 is 424174824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4284714242 = 367175522369175552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428471423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58534 + ... + 65445.

Almost surely, 2428471424 is an apocalyptic number.

It is an amenable number.

428471424 is an abundant number, since it is smaller than the sum of its proper divisors (836124576).

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

428471424 is a wasteful number, since it uses less digits than its factorization.

428471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124002 (or 123984 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 428471424 is about 20699.5512994847. The cubic root of 428471424 is about 753.8887935300. Note that the first 3 decimals are identical.

The spelling of 428471424 in words is "four hundred twenty-eight million, four hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 123979 247958 371937 495916 743874 991832 1115811 1487748 1983664 2231622 2975496 3347433 3967328 4463244 5950992 6694866 7934656 8926488 11901984 13389732 15869312 17852976 23803968 26779464 35705952 47607936 53558928 71411904 107117856 142823808 214235712 428471424