Search a number
-
+
612582420 = 2235171973433
BaseRepresentation
bin100100100000110…
…100010000010100
31120200200102002210
4210200310100110
52223310114140
6140441433420
721115602402
oct4440642024
91520612083
10612582420
1129487226a
1215119b870
1399bb2a08
145b500472
1538ba5d80
hex24834414

612582420 has 192 divisors, whose sum is σ = 1942375680. Its totient is φ = 143327232.

The previous prime is 612582419. The next prime is 612582449. The reversal of 612582420 is 24285216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414524 + ... + 1414956.

It is an arithmetic number, because the mean of its divisors is an integer number (10116540).

Almost surely, 2612582420 is an apocalyptic number.

612582420 is a gapful number since it is divisible by the number (60) 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 612582420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971187840).

612582420 is an abundant number, since it is smaller than the sum of its proper divisors (1329793260).

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

612582420 is a wasteful number, since it uses less digits than its factorization.

612582420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 612582420 is about 24750.4024209709. The cubic root of 612582420 is about 849.2877170133.

The spelling of 612582420 in words is "six hundred twelve million, five hundred eighty-two thousand, four hundred twenty".