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3826146552 = 2332911348649
BaseRepresentation
bin1110010000001110…
…0101110011111000
3100212122120101100120
43210003211303320
530313443142202
61431355333240
7163546465134
oct34403456370
910778511316
103826146552
11169383a598
128a9451220
1348c8c0457
1428421a3c4
15175d830bc
hexe40e5cf8

3826146552 has 64 divisors (see below), whose sum is σ = 9982980000. Its totient is φ = 1220481024.

The previous prime is 3826146551. The next prime is 3826146587. The reversal of 3826146552 is 2556416283.

3826146552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826146551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54324 + ... + 102972.

Almost surely, 23826146552 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 3826146552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991490000).

3826146552 is an abundant number, since it is smaller than the sum of its proper divisors (6156833448).

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

3826146552 is a wasteful number, since it uses less digits than its factorization.

3826146552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48800 (or 48796 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 3826146552 is about 61855.8530132760. The cubic root of 3826146552 is about 1564.0616479168.

The spelling of 3826146552 in words is "three billion, eight hundred twenty-six million, one hundred forty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 339 348 452 678 696 904 1356 2712 3277 6554 9831 13108 19662 26216 39324 48649 78648 97298 145947 194596 291894 389192 583788 1167576 1410821 2821642 4232463 5497337 5643284 8464926 10994674 11286568 16492011 16929852 21989348 32984022 33859704 43978696 65968044 131936088 159422773 318845546 478268319 637691092 956536638 1275382184 1913073276 3826146552