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4202495136 = 25347673457
BaseRepresentation
bin1111101001111100…
…1111110010100000
3101211212201212120000
43322133033302200
532101314321021
61533002020000
7206066422260
oct37237176240
911755655500
104202495136
111867220884
129934a7600
1351c870618
142bc1c57a0
15198e23b26
hexfa7cfca0

4202495136 has 240 divisors, whose sum is σ = 14340021696. Its totient is φ = 1182449664.

The previous prime is 4202495123. The next prime is 4202495137. The reversal of 4202495136 is 6315942024.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4202495136.

It is not an unprimeable number, because it can be changed into a prime (4202495137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1213920 + ... + 1217376.

Almost surely, 24202495136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202495136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170010848).

4202495136 is an abundant number, since it is smaller than the sum of its proper divisors (10137526560).

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

4202495136 is a wasteful number, since it uses less digits than its factorization.

4202495136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4202495136 is about 64826.6545180299. The cubic root of 4202495136 is about 1613.7480846722.

The spelling of 4202495136 in words is "four billion, two hundred two million, four hundred ninety-five thousand, one hundred thirty-six".