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3928531684 = 2272114372
BaseRepresentation
bin1110101000101000…
…1010001011100100
3101010210020002100111
43222022022023210
531021201003214
61445454022404
7166231653100
oct35212121344
911123202314
103928531684
111736610000
129177a7a04
134a7b8a77c
14293a6c900
1517ed595c4
hexea28a2e4

3928531684 has 135 divisors (see below), whose sum is σ = 9041234265. Its totient is φ = 1489229280.

The previous prime is 3928531657. The next prime is 3928531693. The reversal of 3928531684 is 4861358293.

The square root of 3928531684 is 62678.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3515304100 + 413227584 = 59290^2 + 20328^2 .

It is a super-2 number, since 2×39285316842 = 30866722384383751712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 106176514 + ... + 106176550.

Almost surely, 23928531684 is an apocalyptic number.

3928531684 is the 62678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3928531684

3928531684 is an abundant number, since it is smaller than the sum of its proper divisors (5112702581).

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

3928531684 is an equidigital number, since it uses as much as digits as its factorization.

3928531684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 57 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The cubic root of 3928531684 is about 1577.8901074330.

Multiplying 3928531684 by its sum of digits (49), we get a square (192498052516 = 4387462).

3928531684 divided by its sum of digits (49) gives a square (80174116 = 89542).

The spelling of 3928531684 in words is "three billion, nine hundred twenty-eight million, five hundred thirty-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 121 148 154 196 242 259 308 407 484 518 539 814 847 1036 1078 1331 1369 1628 1694 1813 2156 2662 2738 2849 3388 3626 4477 5324 5476 5698 5929 7252 8954 9317 9583 11396 11858 14641 15059 17908 18634 19166 19943 23716 29282 30118 31339 37268 38332 39886 49247 58564 60236 62678 65219 67081 79772 98494 102487 105413 125356 130438 134162 165649 196988 204974 210826 219373 260876 268324 331298 344729 409948 421652 438746 541717 662596 689458 717409 737891 877492 1083434 1159543 1378916 1434818 1475782 1822139 2166868 2319086 2413103 2869636 2951564 3644278 3792019 4638172 4826206 7288556 7584038 8116801 9652412 12754973 15168076 16233602 20043529 25509946 26544133 32467204 40087058 51019892 53088266 80174116 89284811 106176532 140304703 178569622 280609406 357139244 561218812 982132921 1964265842 3928531684