Search a number
-
+
3972064050 = 232528826809
BaseRepresentation
bin1110110011000000…
…1110001100110010
3101020211010202112100
43230300032030302
531113322022200
61454051041230
7200300662443
oct35460161462
911224122470
103972064050
111759143569
1292a2a0216
134b3bc0076
142997612ca
15183aa7d00
hexecc0e332

3972064050 has 36 divisors (see below), whose sum is σ = 10671613290. Its totient is φ = 1059216960.

The previous prime is 3972064009. The next prime is 3972064081. The reversal of 3972064050 is 504602793.

3972064050 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 0 + 640 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1610978769 + 2361085281 = 40137^2 + 48591^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3972063996 and 3972064014.

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, 4412955 + ... + 4413854.

Almost surely, 23972064050 is an apocalyptic number.

3972064050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3972064050 is an abundant number, since it is smaller than the sum of its proper divisors (6699549240).

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

3972064050 is a wasteful number, since it uses less digits than its factorization.

3972064050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826827 (or 8826819 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3972064050 is about 63024.3131656347. The cubic root of 3972064050 is about 1583.6969523750.

The spelling of 3972064050 in words is "three billion, nine hundred seventy-two million, sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 8826809 17653618 26480427 44134045 52960854 79441281 88268090 132402135 158882562 220670225 264804270 397206405 441340450 662010675 794412810 1324021350 1986032025 3972064050