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BaseRepresentation
bin111111101110…
…1100101100000
32022212120200000
41333131211200
532023212342
63152100000
7554003241
oct177354540
968776600
1033413472
1117952044
12b234600
136bcb8b1
14461acc8
152e0044c
hex1fdd960

33413472 has 72 divisors (see below), whose sum is σ = 98561736. Its totient is φ = 11135232.

The previous prime is 33413467. The next prime is 33413477. The reversal of 33413472 is 27431433.

It is an interprime number because it is at equal distance from previous prime (33413467) and next prime (33413477).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×334134722 = 2232920222189568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5628 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (1368913).

Almost surely, 233413472 is an apocalyptic number.

33413472 is a gapful number since it is divisible by the number (32) 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 33413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49280868).

33413472 is an abundant number, since it is smaller than the sum of its proper divisors (65148264).

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

33413472 is an equidigital number, since it uses as much as digits as its factorization.

33413472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4302 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 33413472 is about 5780.4387376738. The cubic root of 33413472 is about 322.0874985650.

The spelling of 33413472 in words is "thirty-three million, four hundred thirteen thousand, four hundred seventy-two".