Search a number
-
+
73790946 = 23319235359
BaseRepresentation
bin1000110010111…
…11010111100010
312010211222011000
410121133113202
5122342302241
611153332430
71554132645
oct431372742
9163758130
1073790946
1138720259
1220867116
13123981a8
149b2ba5c
156728eb6
hex465f5e2

73790946 has 128 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 21498048.

The previous prime is 73790891. The next prime is 73790947. The reversal of 73790946 is 64909737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73790947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1250665 + ... + 1250723.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 273790946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73790946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

73790946 is an abundant number, since it is smaller than the sum of its proper divisors (112833054).

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

73790946 is a wasteful number, since it uses less digits than its factorization.

73790946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 73790946 is about 8590.1656561442. The cubic root of 73790946 is about 419.4379215856.

The spelling of 73790946 in words is "seventy-three million, seven hundred ninety thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 53 54 57 59 69 106 114 118 138 159 171 177 207 318 342 354 414 437 477 513 531 621 874 954 1007 1026 1062 1121 1219 1242 1311 1357 1431 1593 2014 2242 2438 2622 2714 2862 3021 3127 3186 3363 3657 3933 4071 6042 6254 6726 7314 7866 8142 9063 9381 10089 10971 11799 12213 18126 18762 20178 21942 23161 23598 24426 25783 27189 28143 30267 32913 36639 46322 51566 54378 56286 59413 60534 65826 69483 71921 73278 77349 84429 118826 138966 143842 154698 168858 178239 208449 215763 232047 356478 416898 431526 464094 534717 625347 647289 696141 1069434 1250694 1294578 1366499 1392282 1604151 1941867 2732998 3208302 3883734 4099497 8198994 12298491 24596982 36895473 73790946