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33242484 = 22311713547
BaseRepresentation
bin111111011001…
…1110101110100
32022112220010010
41332303311310
532002224414
63144300220
7552361602
oct176636564
968486103
1033242484
1117845630
12b171670
136b6bb12
1445b4872
152db9959
hex1fb3d74

33242484 has 48 divisors (see below), whose sum is σ = 85833216. Its totient is φ = 9928800.

The previous prime is 33242477. The next prime is 33242491. The reversal of 33242484 is 48424233.

It is an interprime number because it is at equal distance from previous prime (33242477) and next prime (33242491).

It is a super-2 number, since 2×332424842 = 2210125484980512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7599 + ... + 11145.

It is an arithmetic number, because the mean of its divisors is an integer number (1788192).

Almost surely, 233242484 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 33242484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42916608).

33242484 is an abundant number, since it is smaller than the sum of its proper divisors (52590732).

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

33242484 is a wasteful number, since it uses less digits than its factorization.

33242484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3634 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 33242484 is about 5765.6295406486. The cubic root of 33242484 is about 321.5371486170.

The spelling of 33242484 in words is "thirty-three million, two hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 3547 4686 7094 9372 10641 14188 21282 39017 42564 78034 117051 156068 234102 251837 468204 503674 755511 1007348 1511022 2770207 3022044 5540414 8310621 11080828 16621242 33242484