[go: up one dir, main page]

Search a number
-
+
5475242100 = 2235240944623
BaseRepresentation
bin1010001100101100…
…11001000001110100
3112010120122010011110
411012112121001310
542203130221400
62303145235020
7252452534646
oct50626310164
915116563143
105475242100
11235a6a4479
121089792a70
13693455a33
1439d250896
15220a2de50
hex146599074

5475242100 has 72 divisors (see below), whose sum is σ = 15880789120. Its totient is φ = 1456462080.

The previous prime is 5475242081. The next prime is 5475242107. The reversal of 5475242100 is 12425745.

It is a super-2 number, since 2×54752421002 = 59956552107224820000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5475242107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100389 + ... + 145011.

Almost surely, 25475242100 is an apocalyptic number.

5475242100 is a gapful number since it is divisible by the number (50) 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 5475242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940394560).

5475242100 is an abundant number, since it is smaller than the sum of its proper divisors (10405547020).

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

5475242100 is a wasteful number, since it uses less digits than its factorization.

5475242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45049 (or 45042 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 5475242100 is about 73994.8788768520. The cubic root of 5475242100 is about 1762.5215771213.

Adding to 5475242100 its reverse (12425745), we get a palindrome (5487667845).

The spelling of 5475242100 in words is "five billion, four hundred seventy-five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 409 818 1227 1636 2045 2454 4090 4908 6135 8180 10225 12270 20450 24540 30675 40900 44623 61350 89246 122700 133869 178492 223115 267738 446230 535476 669345 892460 1115575 1338690 2231150 2677380 3346725 4462300 6693450 13386900 18250807 36501614 54752421 73003228 91254035 109504842 182508070 219009684 273762105 365016140 456270175 547524210 912540350 1095048420 1368810525 1825080700 2737621050 5475242100