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3253691952 = 2432797107311
BaseRepresentation
bin1100000111101111…
…0110011000110000
322101202101200021100
43001323312120300
523130421120302
61254505524400
7143425632240
oct30173663060
98352350240
103253691952
11141a695a15
127697a3700
133cb11a514
1422c1a3b20
151409a6d1c
hexc1ef6630

3253691952 has 240 divisors, whose sum is σ = 10646318592. Its totient is φ = 908513280.

The previous prime is 3253691891. The next prime is 3253691953. The reversal of 3253691952 is 2591963523.

3253691952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×32536919523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3253691898 and 3253691907.

It is not an unprimeable number, because it can be changed into a prime (3253691953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10461877 + ... + 10462187.

Almost surely, 23253691952 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 3253691952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296).

3253691952 is an abundant number, since it is smaller than the sum of its proper divisors (7392626640).

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

3253691952 is a wasteful number, since it uses less digits than its factorization.

3253691952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 3253691952 is about 57041.1426253016. The cubic root of 3253691952 is about 1481.8087139126.

The spelling of 3253691952 in words is "three billion, two hundred fifty-three million, six hundred ninety-one thousand, nine hundred fifty-two".