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3926446974 = 23519142299
BaseRepresentation
bin1110101000001000…
…1101001101111110
3101010122022011200000
43222002031031332
531020132300344
61445341215130
7166205151162
oct35202151576
911118264600
103926446974
1117354167aa
12916b614a6
134a760a908
14293688ca2
1517ea96a69
hexea08d37e

3926446974 has 48 divisors (see below), whose sum is σ = 8868787200. Its totient is φ = 1301932440.

The previous prime is 3926446913. The next prime is 3926446987. The reversal of 3926446974 is 4796446293.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3926446974.

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 23 ways as a sum of consecutive naturals, for example, 71677 + ... + 113975.

It is an arithmetic number, because the mean of its divisors is an integer number (184766400).

Almost surely, 23926446974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3926446974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434393600).

3926446974 is an abundant number, since it is smaller than the sum of its proper divisors (4942340226).

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

3926446974 is a wasteful number, since it uses less digits than its factorization.

3926446974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42507 (or 42495 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3926446974 is about 62661.3674763007. The cubic root of 3926446974 is about 1577.6109509458.

The spelling of 3926446974 in words is "three billion, nine hundred twenty-six million, four hundred forty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 243 382 486 573 1146 1719 3438 5157 10314 15471 30942 42299 46413 84598 92826 126897 253794 380691 761382 1142073 2284146 3426219 6852438 8079109 10278657 16158218 20557314 24237327 48474654 72711981 145423962 218135943 436271886 654407829 1308815658 1963223487 3926446974