Search a number
-
+
3840248840 = 235196138243
BaseRepresentation
bin1110010011100101…
…1000110000001000
3100220122002212001112
43210321120300020
530331100430330
61433021505452
7164110401521
oct34471306010
910818085045
103840248840
1116a07a187a
128b2112288
134927ba2bc
1428604b848
1517721b795
hexe4e58c08

3840248840 has 64 divisors (see below), whose sum is σ = 9111268800. Its totient is φ = 1452701952.

The previous prime is 3840248827. The next prime is 3840248873. The reversal of 3840248840 is 488420483.

It is a super-2 number, since 2×38402488402 = 29495022306242691200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 461759 + ... + 470001.

It is an arithmetic number, because the mean of its divisors is an integer number (142363575).

Almost surely, 23840248840 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 3840248840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555634400).

3840248840 is an abundant number, since it is smaller than the sum of its proper divisors (5271019960).

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

3840248840 is a wasteful number, since it uses less digits than its factorization.

3840248840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The square root of 3840248840 is about 61969.7413259084. The cubic root of 3840248840 is about 1565.9808812808.

The spelling of 3840248840 in words is "three billion, eight hundred forty million, two hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 613 760 1226 2452 3065 4904 6130 8243 11647 12260 16486 23294 24520 32972 41215 46588 58235 65944 82430 93176 116470 156617 164860 232940 313234 329720 465880 626468 783085 1252936 1566170 3132340 5052959 6264680 10105918 20211836 25264795 40423672 50529590 96006221 101059180 192012442 202118360 384024884 480031105 768049768 960062210 1920124420 3840248840