Search a number
-
+
427524552 = 2332713232837
BaseRepresentation
bin11001011110111…
…000000111001000
31002210110111102200
4121132320013020
51333421241202
6110231200200
713410620160
oct3136700710
91083414380
10427524552
111aa365584
12bb216060
136a75a910
1440acb5a0
15277ede1c
hex197b81c8

427524552 has 192 divisors, whose sum is σ = 1487566080. Its totient is φ = 107813376.

The previous prime is 427524541. The next prime is 427524557. The reversal of 427524552 is 255425724.

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 (427524557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149278 + ... + 152114.

It is an arithmetic number, because the mean of its divisors is an integer number (7747740).

Almost surely, 2427524552 is an apocalyptic number.

427524552 is a gapful number since it is divisible by the number (42) 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 427524552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743783040).

427524552 is an abundant number, since it is smaller than the sum of its proper divisors (1060041528).

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

427524552 is a wasteful number, since it uses less digits than its factorization.

427524552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2885 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 427524552 is about 20676.6668493740. Note that the first 3 decimals coincide. The cubic root of 427524552 is about 753.3330484419. Note that the first 3 decimals are identical.

The spelling of 427524552 in words is "four hundred twenty-seven million, five hundred twenty-four thousand, five hundred fifty-two".