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763700742 = 232773791051
BaseRepresentation
bin101101100001010…
…010011000000110
31222020001000110200
4231201102120012
53031001410432
6203440431330
724632230530
oct5541223006
91866030420
10763700742
113620a8742
12193918546
13c22b393c
14735da850
15470a6a7c
hex2d852606

763700742 has 96 divisors (see below), whose sum is σ = 1943086080. Its totient is φ = 212284800.

The previous prime is 763700737. The next prime is 763700747. The reversal of 763700742 is 247007367.

It is an interprime number because it is at equal distance from previous prime (763700737) and next prime (763700747).

It is a junction number, because it is equal to n+sod(n) for n = 763700697 and 763700706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763700747) 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, 726117 + ... + 727167.

It is an arithmetic number, because the mean of its divisors is an integer number (20240480).

Almost surely, 2763700742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763700742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971543040).

763700742 is an abundant number, since it is smaller than the sum of its proper divisors (1179385338).

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

763700742 is a wasteful number, since it uses less digits than its factorization.

763700742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 763700742 is about 27635.1360047314. The cubic root of 763700742 is about 914.0593683855.

The spelling of 763700742 in words is "seven hundred sixty-three million, seven hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 79 126 146 158 219 237 438 474 511 553 657 711 1022 1051 1106 1314 1422 1533 1659 2102 3066 3153 3318 4599 4977 5767 6306 7357 9198 9459 9954 11534 14714 17301 18918 22071 34602 40369 44142 51903 66213 76723 80738 83029 103806 121107 132426 153446 166058 230169 242214 249087 363321 460338 498174 537061 581203 690507 726642 747261 1074122 1162406 1381014 1494522 1611183 1743609 3222366 3487218 4833549 5230827 6061117 9667098 10461654 12122234 18183351 36366702 42427819 54550053 84855638 109100106 127283457 254566914 381850371 763700742