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3940680528 = 2432237915061
BaseRepresentation
bin1110101011100010…
…0000001101010000
3101011122002022102200
43222320200031100
531032303234103
61451010243200
7166440142341
oct35270401520
911148068380
103940680528
111742458674
1291b886500
134aa552435
142955120c8
15180e590a3
hexeae20350

3940680528 has 120 divisors (see below), whose sum is σ = 11654373120. Its totient is φ = 1240462080.

The previous prime is 3940680511. The next prime is 3940680571. The reversal of 3940680528 is 8250860493.

3940680528 is a `hidden beast` number, since 3 + 9 + 40 + 6 + 80 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254118 + ... + 269178.

It is an arithmetic number, because the mean of its divisors is an integer number (97119776).

Almost surely, 23940680528 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 3940680528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827186560).

3940680528 is an abundant number, since it is smaller than the sum of its proper divisors (7713692592).

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

3940680528 is a wasteful number, since it uses less digits than its factorization.

3940680528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3940680528 is about 62774.8399281113. The cubic root of 3940680528 is about 1579.5149565972.

The spelling of 3940680528 in words is "three billion, nine hundred forty million, six hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 79 92 138 144 158 184 207 237 276 316 368 414 474 552 632 711 828 948 1104 1264 1422 1656 1817 1896 2844 3312 3634 3792 5451 5688 7268 10902 11376 14536 15061 16353 21804 29072 30122 32706 43608 45183 60244 65412 87216 90366 120488 130824 135549 180732 240976 261648 271098 346403 361464 542196 692806 722928 1039209 1084392 1189819 1385612 2078418 2168784 2379638 2771224 3117627 3569457 4156836 4759276 5542448 6235254 7138914 8313672 9518552 10708371 12470508 14277828 16627344 19037104 21416742 24941016 27365837 28555656 42833484 49882032 54731674 57111312 82097511 85666968 109463348 164195022 171333936 218926696 246292533 328390044 437853392 492585066 656780088 985170132 1313560176 1970340264 3940680528