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4074924 = 2237139349
BaseRepresentation
bin1111100010110110101100
321200000202010
433202312230
52020344144
6223201220
746431150
oct17426654
97600663
104074924
112333607
121446210
13ac89c9
14781060
155575b9
hex3e2dac

4074924 has 48 divisors (see below), whose sum is σ = 10976000. Its totient is φ = 1152576.

The previous prime is 4074901. The next prime is 4074929. The reversal of 4074924 is 4294704.

It is a super-3 number, since 3×40749243 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4074891 and 4074900.

It is not an unprimeable number, because it can be changed into a prime (4074929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11502 + ... + 11850.

Almost surely, 24074924 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 4074924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488000).

4074924 is an abundant number, since it is smaller than the sum of its proper divisors (6901076).

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

4074924 is a wasteful number, since it uses less digits than its factorization.

4074924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4074924 is about 2018.6440993895. The cubic root of 4074924 is about 159.7251008776.

The spelling of 4074924 in words is "four million, seventy-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 349 417 556 698 834 973 1047 1396 1668 1946 2094 2443 2919 3892 4188 4886 5838 7329 9772 11676 14658 29316 48511 97022 145533 194044 291066 339577 582132 679154 1018731 1358308 2037462 4074924