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3542463936 = 263311227821
BaseRepresentation
bin1101001100100101…
…1011010111000000
3100010212202210222000
43103021123113000
524223332321221
61343303144000
7153533306124
oct32311332700
910125683860
103542463936
1115586a0650
1282a445000
13445bb680b
14258693584
1515aee8e26
hexd325b5c0

3542463936 has 224 divisors, whose sum is σ = 11424879360. Its totient is φ = 1067443200.

The previous prime is 3542463889. The next prime is 3542463971. The reversal of 3542463936 is 6393642453.

3542463936 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 4 + 639 + 3 + 6 = 666.

It is a super-3 number, since 3×35424639363 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1399680) is a multiple of the sum of its prime factors (1080).

It is a junction number, because it is equal to n+sod(n) for n = 3542463891 and 3542463900.

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, 4314406 + ... + 4315226.

Almost surely, 23542463936 is an apocalyptic number.

3542463936 is a gapful number since it is divisible by the number (36) 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 3542463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712439680).

3542463936 is an abundant number, since it is smaller than the sum of its proper divisors (7882415424).

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

3542463936 is a wasteful number, since it uses less digits than its factorization.

3542463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1064 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3542463936 is about 59518.6015964757. The cubic root of 3542463936 is about 1524.4100824643.

The spelling of 3542463936 in words is "three billion, five hundred forty-two million, four hundred sixty-three thousand, nine hundred thirty-six".