Search a number
-
+
4652195040 = 253354092633
BaseRepresentation
bin1000101010100101…
…01101110011100000
3110000012220222212000
410111102231303200
534011430220130
62045344404000
7223200001563
oct42522556340
913005828760
104652195040
111a78051a99
12a9a016600
13591a9383c
14321c064da
151c3653260
hex1154adce0

4652195040 has 192 divisors, whose sum is σ = 16328692800. Its totient is φ = 1237082112.

The previous prime is 4652194933. The next prime is 4652195057. The reversal of 4652195040 is 405912564.

4652195040 is a `hidden beast` number, since 4 + 6 + 521 + 95 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4652194986 and 4652195004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765564 + ... + 1768196.

It is an arithmetic number, because the mean of its divisors is an integer number (85045275).

Almost surely, 24652195040 is an apocalyptic number.

4652195040 is a gapful number since it is divisible by the number (40) 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 4652195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164346400).

4652195040 is an abundant number, since it is smaller than the sum of its proper divisors (11676497760).

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

4652195040 is a wasteful number, since it uses less digits than its factorization.

4652195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4652195040 is about 68207.0014001495. The cubic root of 4652195040 is about 1669.3701283171.

The spelling of 4652195040 in words is "four billion, six hundred fifty-two million, one hundred ninety-five thousand, forty".