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3928942976 = 27731373823
BaseRepresentation
bin1110101000101110…
…1110100110000000
3101010210222222112112
43222023232212000
531021302133401
61445510514452
7166235315150
oct35213564600
911123888475
103928942976
111736871012
12917965a28
134a7ca2a3a
14293b38760
1517eddb3bb
hexea2ee980

3928942976 has 128 divisors (see below), whose sum is σ = 9485967360. Its totient is φ = 1585059840.

The previous prime is 3928942973. The next prime is 3928943017. The reversal of 3928942976 is 6792498293.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928942973) 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, 1025801 + ... + 1029623.

It is an arithmetic number, because the mean of its divisors is an integer number (74109120).

Almost surely, 23928942976 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 3928942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742983680).

3928942976 is an abundant number, since it is smaller than the sum of its proper divisors (5557024384).

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

3928942976 is a wasteful number, since it uses less digits than its factorization.

3928942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3900 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 59.

The square root of 3928942976 is about 62681.2809058653. The cubic root of 3928942976 is about 1577.9451704934.

The spelling of 3928942976 in words is "three billion, nine hundred twenty-eight million, nine hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 259 296 434 448 496 518 592 868 896 992 1036 1147 1184 1736 1984 2072 2294 2368 3472 3823 3968 4144 4588 4736 6944 7646 8029 8288 9176 13888 15292 16058 16576 18352 26761 27776 30584 32116 33152 36704 53522 61168 64232 73408 107044 118513 122336 128464 141451 146816 214088 237026 244672 256928 282902 428176 474052 489344 513856 565804 829591 856352 948104 990157 1027712 1131608 1659182 1712704 1896208 1980314 2263216 3318364 3425408 3792416 3960628 4384981 4526432 6636728 7584832 7921256 8769962 9052864 13273456 15169664 15842512 17539924 18105728 26546912 30694867 31685024 35079848 53093824 61389734 63370048 70159696 106187648 122779468 126740096 140319392 245558936 280638784 491117872 561277568 982235744 1964471488 3928942976