Search a number
-
+
3746268450 = 232528325041
BaseRepresentation
bin1101111101001011…
…1000010100100010
3100200002021011012100
43133102320110202
530133021042300
61415423311230
7161556520311
oct33722702442
910602234170
103746268450
111652741a31
1288674b516
134791a36c2
14277786278
1516dd55700
hexdf4b8522

3746268450 has 36 divisors (see below), whose sum is σ = 10064975778. Its totient is φ = 999004800.

The previous prime is 3746268419. The next prime is 3746268469. The reversal of 3746268450 is 548626473.

3746268450 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2893686849 + 852581601 = 53793^2 + 29199^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3746268396 and 3746268405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4162071 + ... + 4162970.

Almost surely, 23746268450 is an apocalyptic number.

3746268450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3746268450 is an abundant number, since it is smaller than the sum of its proper divisors (6318707328).

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

3746268450 is a wasteful number, since it uses less digits than its factorization.

3746268450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325059 (or 8325051 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3746268450 is about 61206.7680081215. The cubic root of 3746268450 is about 1553.1007577991.

The spelling of 3746268450 in words is "three billion, seven hundred forty-six million, two hundred sixty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 8325041 16650082 24975123 41625205 49950246 74925369 83250410 124875615 149850738 208126025 249751230 374626845 416252050 624378075 749253690 1248756150 1873134225 3746268450