Search a number
-
+
4337985125 = 534321372
BaseRepresentation
bin1000000101001000…
…00110011001100101
3102012022200110212202
410002210012121211
532341011011000
61554242024245
7212333156645
oct40244063145
912168613782
104337985125
111926752481
12a10948085
1354195bc06
142d21b4525
151a5c88dd5
hex102906665

4337985125 has 36 divisors (see below), whose sum is σ = 5583388356. Its totient is φ = 3364939200.

The previous prime is 4337985103. The next prime is 4337985139. The reversal of 4337985125 is 5215897334.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1062368836 + 3275616289 = 32594^2 + 57233^2 .

It is not a de Polignac number, because 4337985125 - 218 = 4337722981 is a prime.

It is a super-2 number, since 2×43379851252 = 37636229889442531250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4337985125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31664057 + ... + 31664193.

It is an arithmetic number, because the mean of its divisors is an integer number (155094121).

Almost surely, 24337985125 is an apocalyptic number.

It is an amenable number.

4337985125 is a deficient number, since it is larger than the sum of its proper divisors (1245403231).

4337985125 is an frugal number, since it uses more digits than its factorization.

4337985125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 185 counting only the distinct ones).

The product of its digits is 907200, while the sum is 47.

The square root of 4337985125 is about 65863.3822772563. The cubic root of 4337985125 is about 1630.9075860713.

The spelling of 4337985125 in words is "four billion, three hundred thirty-seven million, nine hundred eighty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 43 125 137 215 685 1075 1849 3425 5375 5891 9245 17125 18769 29455 46225 93845 147275 231125 253313 469225 736375 807067 1266565 2346125 4035335 6332825 20176675 31664125 34703881 100883375 173519405 867597025 4337985125