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807614742 = 2311253139151
BaseRepresentation
bin110000001000110…
…011100100010110
32002021200002011010
4300020303210112
53123222132432
6212045553050
726004416634
oct6010634426
92067602133
10807614742
11384971a00
121a6575786
13cb41ab5c
147938c354
154ad7d3cc
hex30233916

807614742 has 96 divisors (see below), whose sum is σ = 1833995520. Its totient is φ = 236808000.

The previous prime is 807614737. The next prime is 807614749. The reversal of 807614742 is 247416708.

It is a self number, because there is not a number n which added to its sum of digits gives 807614742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807614749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5348367 + ... + 5348517.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 2807614742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807614742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916997760).

807614742 is an abundant number, since it is smaller than the sum of its proper divisors (1026380778).

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

807614742 is a wasteful number, since it uses less digits than its factorization.

807614742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 807614742 is about 28418.5633345530. The cubic root of 807614742 is about 931.2538458349.

It can be divided in two parts, 807614 and 742, that added together give a triangular number (808356 = T1271).

The spelling of 807614742 in words is "eight hundred seven million, six hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 139 151 159 242 278 302 318 363 417 453 583 726 834 906 1166 1529 1661 1749 3058 3322 3498 4587 4983 6413 7367 8003 9174 9966 12826 14734 16006 16819 18271 19239 20989 22101 24009 33638 36542 38478 41978 44202 48018 50457 54813 62967 81037 88033 100914 109626 125934 162074 176066 230879 243111 264099 461758 486222 528198 692637 891407 968363 1112417 1385274 1782814 1936726 2224834 2539669 2674221 2905089 3337251 5079338 5348442 5810178 6674502 7619007 12236587 15238014 24473174 36709761 73419522 134602457 269204914 403807371 807614742