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3974952 = 2331923379
BaseRepresentation
bin1111001010011100101000
321110221121110
433022130220
52004144302
6221110320
745533532
oct17123450
97427543
103974952
112275493
1213b83a0
13a92357
14756852
15537b6c
hex3ca728

3974952 has 64 divisors (see below), whose sum is σ = 10944000. Its totient is φ = 1197504.

The previous prime is 3974951. The next prime is 3974959. The reversal of 3974952 is 2594793.

3974952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3974952.

It is not an unprimeable number, because it can be changed into a prime (3974951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10299 + ... + 10677.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

Almost surely, 23974952 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 3974952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472000).

3974952 is an abundant number, since it is smaller than the sum of its proper divisors (6969048).

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

3974952 is a wasteful number, since it uses less digits than its factorization.

3974952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 3974952 is about 1993.7281660246. The cubic root of 3974952 is about 158.4080676434.

The spelling of 3974952 in words is "three million, nine hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 379 437 456 552 758 874 1137 1311 1516 1748 2274 2622 3032 3496 4548 5244 7201 8717 9096 10488 14402 17434 21603 26151 28804 34868 43206 52302 57608 69736 86412 104604 165623 172824 209208 331246 496869 662492 993738 1324984 1987476 3974952