[go: up one dir, main page]

Search a number
-
+
45263724 = 223111723877
BaseRepresentation
bin1010110010101…
…0101101101100
310011011122011020
42230222231230
543041414344
64254054140
71056510132
oct254525554
9104148136
1045263724
1123606340
12131aa350
1394ba68c
146023752
153e91719
hex2b2ab6c

45263724 has 96 divisors (see below), whose sum is σ = 127443456. Its totient is φ = 12334080.

The previous prime is 45263717. The next prime is 45263731. The reversal of 45263724 is 42736254.

It is an interprime number because it is at equal distance from previous prime (45263717) and next prime (45263731).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 51174 + ... + 52050.

It is an arithmetic number, because the mean of its divisors is an integer number (1327536).

Almost surely, 245263724 is an apocalyptic number.

45263724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45263724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63721728).

45263724 is an abundant number, since it is smaller than the sum of its proper divisors (82179732).

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

45263724 is a wasteful number, since it uses less digits than its factorization.

45263724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 933 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 45263724 is about 6727.8320430879. The cubic root of 45263724 is about 356.3828205268.

Adding to 45263724 its reverse (42736254), we get a palindrome (87999978).

The spelling of 45263724 in words is "forty-five million, two hundred sixty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 877 1012 1122 1173 1518 1564 1754 2244 2346 2631 3036 3508 4301 4692 5262 8602 9647 10524 12903 14909 17204 19294 20171 25806 28941 29818 38588 40342 44727 51612 57882 59636 60513 80684 89454 115764 121026 163999 178908 221881 242052 327998 342907 443762 491997 655996 665643 685814 887524 983994 1028721 1331286 1371628 1967988 2057442 2662572 3771977 4114884 7543954 11315931 15087908 22631862 45263724