Search a number
-
+
45441240 = 23351329129
BaseRepresentation
bin1010110101011…
…0000011011000
310011111122122220
42231112003120
543113104430
64301544040
71061146515
oct255260330
9104448586
1045441240
1123717749
1213275020
139550410
14606c30c
153ec9110
hex2b560d8

45441240 has 64 divisors (see below), whose sum is σ = 146815200. Its totient is φ = 11185152.

The previous prime is 45441229. The next prime is 45441283. The reversal of 45441240 is 4214454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45441240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13005 + ... + 16124.

Almost surely, 245441240 is an apocalyptic number.

45441240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45441240 is an abundant number, since it is smaller than the sum of its proper divisors (101373960).

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

45441240 is a wasteful number, since it uses less digits than its factorization.

45441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29156 (or 29152 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 45441240 is about 6741.0117934921. The cubic root of 45441240 is about 356.8481020967.

Adding to 45441240 its reverse (4214454), we get a palindrome (49655694).

The spelling of 45441240 in words is "forty-five million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 29129 58258 87387 116516 145645 174774 233032 291290 349548 378677 436935 582580 699096 757354 873870 1136031 1165160 1514708 1747740 1893385 2272062 3029416 3495480 3786770 4544124 5680155 7573540 9088248 11360310 15147080 22720620 45441240