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3902468724 = 22327114134337
BaseRepresentation
bin1110100010011010…
…1111001001110100
3101001222011221200200
43220212233021310
530443012444344
61443123240500
7165464302560
oct35046571164
911058157620
103902468724
111722929570
1290ab19130
134a26637bb
142904066a0
1517c90c069
hexe89af274

3902468724 has 144 divisors (see below), whose sum is σ = 12599024256. Its totient is φ = 988876800.

The previous prime is 3902468681. The next prime is 3902468743. The reversal of 3902468724 is 4278642093.

It is a self number, because there is not a number n which added to its sum of digits gives 3902468724.

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 47 ways as a sum of consecutive naturals, for example, 96484 + ... + 130820.

It is an arithmetic number, because the mean of its divisors is an integer number (87493224).

Almost surely, 23902468724 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 3902468724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299512128).

3902468724 is an abundant number, since it is smaller than the sum of its proper divisors (8696555532).

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

3902468724 is a wasteful number, since it uses less digits than its factorization.

3902468724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34406 (or 34401 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3902468724 is about 62469.7424678540. The cubic root of 3902468724 is about 1574.3929766582.

The spelling of 3902468724 in words is "three billion, nine hundred two million, four hundred sixty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 34337 37884 56826 68674 103011 113652 137348 206022 240359 309033 377707 412044 480718 618066 721077 755414 961436 1133121 1236132 1407817 1442154 1510828 2163231 2266242 2643949 2815634 2884308 3399363 4223451 4326462 4532484 5287898 5631268 6798726 7931847 8446902 8652924 9854719 10575796 12670353 13597452 15485987 15863694 16893804 19709438 23795541 25340706 29564157 30971974 31727388 39418876 46457961 47591082 50681412 59128314 61943948 88692471 92915922 95182164 108401909 118256628 139373883 177384942 185831844 216803818 278747766 325205727 354769884 433607636 557495532 650411454 975617181 1300822908 1951234362 3902468724