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8117629240 = 2357143920147
BaseRepresentation
bin1111000111101100…
…10011000100111000
3202221201202021212211
413203312103010320
5113111103113430
63421300544504
7405106465360
oct74366230470
922851667784
108117629240
11349620aaa6
1216a66b2134
139c4a19c16
145701679a0
153279d372a
hex1e3d93138

8117629240 has 64 divisors (see below), whose sum is σ = 20889446400. Its totient is φ = 2781115008.

The previous prime is 8117629231. The next prime is 8117629243. The reversal of 8117629240 is 429267118.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8117629193 and 8117629202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8117629243) 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 15 ways as a sum of consecutive naturals, for example, 392847 + ... + 412993.

It is an arithmetic number, because the mean of its divisors is an integer number (326397600).

Almost surely, 28117629240 is an apocalyptic number.

It is an amenable number.

8117629240 is an abundant number, since it is smaller than the sum of its proper divisors (12771817160).

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

8117629240 is a wasteful number, since it uses less digits than its factorization.

8117629240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604 (or 21600 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 8117629240 is about 90097.8869896514. The cubic root of 8117629240 is about 2009.7547814343.

8117629240 divided by its sum of digits (40) gives a triangular number (202940731 = T20146).

The spelling of 8117629240 in words is "eight billion, one hundred seventeen million, six hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1439 2878 5756 7195 10073 11512 14390 20146 20147 28780 40292 40294 50365 57560 80584 80588 100730 100735 141029 161176 201460 201470 282058 402920 402940 564116 705145 805880 1128232 1410290 2820580 5641160 28991533 57983066 115966132 144957665 202940731 231932264 289915330 405881462 579830660 811762924 1014703655 1159661320 1623525848 2029407310 4058814620 8117629240