Search a number
-
+
5432415000 = 23354362161
BaseRepresentation
bin1010000111100110…
…00001001100011000
3112000121001021102120
411003303001030120
542111144240000
62255015301240
7251422523415
oct50363011430
915017037376
105432415000
112338502881
12107737a820
1368760c45c
143976a310c
1521bdbe6a0
hex143cc1318

5432415000 has 80 divisors (see below), whose sum is σ = 16970911320. Its totient is φ = 1448640000.

The previous prime is 5432414951. The next prime is 5432415049. The reversal of 5432415000 is 5142345.

It is an interprime number because it is at equal distance from previous prime (5432414951) and next prime (5432415049).

It is a super-2 number, since 2×54324150002 = 59022265464450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166081 + ... + 196080.

Almost surely, 25432415000 is an apocalyptic number.

5432415000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5432415000 is an abundant number, since it is smaller than the sum of its proper divisors (11538496320).

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

5432415000 is a wasteful number, since it uses less digits than its factorization.

5432415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362190 (or 362171 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5432415000 is about 73704.9184247564. The cubic root of 5432415000 is about 1757.9140878573.

Adding to 5432415000 its reverse (5142345), we get a palindrome (5437557345).

The spelling of 5432415000 in words is "five billion, four hundred thirty-two million, four hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 362161 724322 1086483 1448644 1810805 2172966 2897288 3621610 4345932 5432415 7243220 8691864 9054025 10864830 14486440 18108050 21729660 27162075 36216100 43459320 45270125 54324150 72432200 90540250 108648300 135810375 181080500 217296600 226350625 271620750 362161000 452701250 543241500 679051875 905402500 1086483000 1358103750 1810805000 2716207500 5432415000