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3946397442 = 23131779101373
BaseRepresentation
bin1110101100111001…
…0011111100000010
3101012000211202120020
43223032103330002
531040234204232
61451332554310
7166536552621
oct35316237402
911160752506
103946397442
111745702899
12921782996
134ab7a4620
1429619d6b8
151816d7e2c
hexeb393f02

3946397442 has 128 divisors (see below), whose sum is σ = 9228764160. Its totient is φ = 1114214400.

The previous prime is 3946397419. The next prime is 3946397443. The reversal of 3946397442 is 2447936493.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3946397443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10579968 + ... + 10580340.

It is an arithmetic number, because the mean of its divisors is an integer number (72099720).

Almost surely, 23946397442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946397442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614382080).

3946397442 is an abundant number, since it is smaller than the sum of its proper divisors (5282366718).

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

3946397442 is a wasteful number, since it uses less digits than its factorization.

3946397442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its digits is 3919104, while the sum is 51.

The square root of 3946397442 is about 62820.3584994546. The cubic root of 3946397442 is about 1580.2784108541.

The spelling of 3946397442 in words is "three billion, nine hundred forty-six million, three hundred ninety-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 79 101 102 158 202 221 237 303 373 442 474 606 663 746 1027 1119 1313 1326 1343 1717 2054 2238 2626 2686 3081 3434 3939 4029 4849 5151 6162 6341 7878 7979 8058 9698 10302 12682 14547 15958 17459 19023 22321 23937 29094 29467 34918 37673 38046 44642 47874 52377 58934 66963 75346 82433 88401 103727 104754 113019 133926 135643 164866 176802 207454 226038 247299 271286 311181 383071 406929 489749 494598 500939 622362 640441 766142 813858 979498 1001878 1149213 1280882 1469247 1502817 1763359 1921323 2298426 2938494 2976167 3005634 3526718 3842646 5290077 5952334 6512207 8325733 8928501 10580154 13024414 16651466 17857002 19536621 24977199 38690171 39073242 49954398 50594839 77380342 101189678 116070513 151784517 232141026 303569034 657732907 1315465814 1973198721 3946397442