Search a number
-
+
427332504 = 233416592
BaseRepresentation
bin11001011110001…
…001001110011000
31002210002201222210
4121132021032120
51333344120004
6110223115120
713406160234
oct3136111630
91083081883
10427332504
111aa244265
12bb142aa0
136a6c1391
1440a7b5c4
15277b2089
hex19789398

427332504 has 48 divisors (see below), whose sum is σ = 1096051320. Its totient is φ = 138759040.

The previous prime is 427332469. The next prime is 427332509. The reversal of 427332504 is 405233724.

It is a super-2 number, since 2×4273325042 = 365226137949820032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427332509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648127 + ... + 648785.

Almost surely, 2427332504 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 427332504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548025660).

427332504 is an abundant number, since it is smaller than the sum of its proper divisors (668718816).

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

427332504 is an equidigital number, since it uses as much as digits as its factorization.

427332504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 427332504 is about 20672.0222523100. The cubic root of 427332504 is about 753.2202301462.

The spelling of 427332504 in words is "four hundred twenty-seven million, three hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 659 984 1318 1977 2636 3954 5272 7908 15816 27019 54038 81057 108076 162114 216152 324228 434281 648456 868562 1302843 1737124 2605686 3474248 5211372 10422744 17805521 35611042 53416563 71222084 106833126 142444168 213666252 427332504