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3850000728 = 2337237313649
BaseRepresentation
bin1110010101111010…
…0101100101011000
3100221022110022010120
43211132211211120
530341100010403
61434010513240
7164256315630
oct34536454530
910838408116
103850000728
1116a6252592
128b5435820
13494822c52
142874696c0
15177ee5e53
hexe57a5958

3850000728 has 128 divisors (see below), whose sum is σ = 11636352000. Its totient is φ = 1037684736.

The previous prime is 3850000697. The next prime is 3850000729. The reversal of 3850000728 is 8270000583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3850000729) 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 31 ways as a sum of consecutive naturals, for example, 275248 + ... + 288896.

It is an arithmetic number, because the mean of its divisors is an integer number (90909000).

Almost surely, 23850000728 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 3850000728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818176000).

3850000728 is an abundant number, since it is smaller than the sum of its proper divisors (7786351272).

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

3850000728 is a wasteful number, since it uses less digits than its factorization.

3850000728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3850000728 is about 62048.3740963452. The cubic root of 3850000728 is about 1567.3053060284.

The spelling of 3850000728 in words is "three billion, eight hundred fifty million, seven hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 73 84 92 138 146 161 168 184 219 276 292 322 438 483 511 552 584 644 876 966 1022 1288 1533 1679 1752 1932 2044 3066 3358 3864 4088 5037 6132 6716 10074 11753 12264 13432 13649 20148 23506 27298 35259 40296 40947 47012 54596 70518 81894 94024 95543 109192 141036 163788 191086 282072 286629 313927 327576 382172 573258 627854 764344 941781 996377 1146516 1255708 1883562 1992754 2197489 2293032 2511416 2989131 3767124 3985508 4394978 5978262 6592467 6974639 7534248 7971016 8789956 11956524 13184934 13949278 17579912 20923917 22916671 23913048 26369868 27898556 41847834 45833342 52739736 55797112 68750013 83695668 91666684 137500026 160416697 167391336 183333368 275000052 320833394 481250091 550000104 641666788 962500182 1283333576 1925000364 3850000728