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8238416940 = 22325133520691
BaseRepresentation
bin1111010110000110…
…00100010000101100
3210021011000221110100
413223003010100230
5113333013320230
63441253511100
7411104250165
oct75303042054
923234027410
108238416940
11354840a646
12171b042490
13a13a5b530
1458220a76c
153333e2660
hex1eb0c442c

8238416940 has 72 divisors (see below), whose sum is σ = 26912169648. Its totient is φ = 2027917440.

The previous prime is 8238416933. The next prime is 8238416969. The reversal of 8238416940 is 496148328.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1758006 + ... + 1762685.

It is an arithmetic number, because the mean of its divisors is an integer number (373780134).

Almost surely, 28238416940 is an apocalyptic number.

It is an amenable number.

8238416940 is an abundant number, since it is smaller than the sum of its proper divisors (18673752708).

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

8238416940 is a wasteful number, since it uses less digits than its factorization.

8238416940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520719 (or 3520714 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8238416940 is about 90765.7255796482. The cubic root of 8238416940 is about 2019.6739123334.

The spelling of 8238416940 in words is "eight billion, two hundred thirty-eight million, four hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3520691 7041382 10562073 14082764 17603455 21124146 31686219 35206910 42248292 45768983 52810365 63372438 70413820 91537966 105620730 126744876 137306949 158431095 183075932 211241460 228844915 274613898 316862190 411920847 457689830 549227796 633724380 686534745 823841694 915379660 1373069490 1647683388 2059604235 2746138980 4119208470 8238416940