Search a number
-
+
45943860 = 223517311453
BaseRepresentation
bin1010111101000…
…0110000110100
310012110012010110
42233100300310
543230200420
64320423020
71065342054
oct257206064
9105405113
1045943860
1123a30336
1213477a70
139698121
14615d564
154077ee0
hex2bd0c34

45943860 has 96 divisors (see below), whose sum is σ = 140700672. Its totient is φ = 11151360.

The previous prime is 45943837. The next prime is 45943883. The reversal of 45943860 is 6834954.

It is an interprime number because it is at equal distance from previous prime (45943837) and next prime (45943883).

It is a super-2 number, since 2×459438602 = 4221676543399200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30894 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (1465632).

Almost surely, 245943860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45943860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70350336).

45943860 is an abundant number, since it is smaller than the sum of its proper divisors (94756812).

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

45943860 is a wasteful number, since it uses less digits than its factorization.

45943860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45943860 is about 6778.1900238928. The cubic root of 45943860 is about 358.1589652218.

The spelling of 45943860 in words is "forty-five million, nine hundred forty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1453 1581 1860 2108 2635 2906 3162 4359 5270 5812 6324 7265 7905 8718 10540 14530 15810 17436 21795 24701 29060 31620 43590 45043 49402 74103 87180 90086 98804 123505 135129 148206 180172 225215 247010 270258 296412 370515 450430 494020 540516 675645 741030 765731 900860 1351290 1482060 1531462 2297193 2702580 3062924 3828655 4594386 7657310 9188772 11485965 15314620 22971930 45943860