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104956452 = 223323293147
BaseRepresentation
bin1100100000110…
…00001000100100
321022111100012000
412100120020210
5203332101302
614225325300
72413054326
oct620301044
9238440160
10104956452
1154277377
122b196830
131898a813
14dd21616
15933331c
hex6418224

104956452 has 192 divisors, whose sum is σ = 309657600. Its totient is φ = 30602880.

The previous prime is 104956451. The next prime is 104956463. The reversal of 104956452 is 254659401.

104956452 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 645 + 2 = 666.

It is a super-2 number, since 2×1049564522 = 22031713632856608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (104956451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233093 + ... + 2233139.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2104956452 is an apocalyptic number.

104956452 is a gapful number since it is divisible by the number (12) 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 104956452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

104956452 is an abundant number, since it is smaller than the sum of its proper divisors (204701148).

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

104956452 is a wasteful number, since it uses less digits than its factorization.

104956452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

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

The square root of 104956452 is about 10244.8256207707. The cubic root of 104956452 is about 471.7041680169.

The spelling of 104956452 in words is "one hundred four million, nine hundred fifty-six thousand, four hundred fifty-two".