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3928968252 = 2232113167491
BaseRepresentation
bin1110101000101111…
…0100110000111100
3101010211001021012200
43222023310300330
531021303441002
61445511231500
7166235451636
oct35213646074
911124037180
103928968252
111736889000
12917978590
134a7cb13b1
14293b43a56
1517ede3b1c
hexea2f4c3c

3928968252 has 144 divisors (see below), whose sum is σ = 11011762944. Its totient is φ = 1181056800.

The previous prime is 3928968233. The next prime is 3928968283. The reversal of 3928968252 is 2528698293.

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, 8001727 + ... + 8002217.

It is an arithmetic number, because the mean of its divisors is an integer number (76470576).

Almost surely, 23928968252 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 3928968252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505881472).

3928968252 is an abundant number, since it is smaller than the sum of its proper divisors (7082794692).

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

3928968252 is a wasteful number, since it uses less digits than its factorization.

3928968252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 674 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3928968252 is about 62681.4825287341. The cubic root of 3928968252 is about 1577.9485542751.

The spelling of 3928968252 in words is "three billion, nine hundred twenty-eight million, nine hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 167 198 242 334 363 396 484 491 501 668 726 982 1002 1089 1331 1452 1473 1503 1837 1964 2004 2178 2662 2946 3006 3674 3993 4356 4419 5324 5401 5511 5892 6012 7348 7986 8838 10802 11022 11979 15972 16203 16533 17676 20207 21604 22044 23958 32406 33066 40414 47916 48609 59411 60621 64812 66132 80828 81997 97218 118822 121242 163994 178233 181863 194436 222277 237644 242484 245991 327988 356466 363726 444554 491982 534699 653521 666831 712932 727452 737973 889108 901967 983964 1069398 1307042 1333662 1475946 1803934 1960563 2000493 2138796 2614084 2667324 2705901 2951892 3607868 3921126 4000986 5411802 5881689 7842252 8001972 8117703 9921637 10823604 11763378 16235406 19843274 23526756 29764911 32470812 39686548 59529822 89294733 109138007 119059644 178589466 218276014 327414021 357178932 436552028 654828042 982242063 1309656084 1964484126 3928968252