Search a number
-
+
45423540 = 22325409617
BaseRepresentation
bin1010110101000…
…1101110110100
310011110202101100
42231101232310
543112023130
64301330100
71061044101
oct255215664
9104422340
1045423540
1123705418
1213266930
139545346
146065aa8
153ec3c60
hex2b51bb4

45423540 has 72 divisors (see below), whose sum is σ = 138345480. Its totient is φ = 12063744.

The previous prime is 45423527. The next prime is 45423557. The reversal of 45423540 is 4532454.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 42458256 = 1722^2 + 6516^2 .

It is a super-2 number, since 2×454235402 = 4126595972263200, 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 23 ways as a sum of consecutive naturals, for example, 73312 + ... + 73928.

It is an arithmetic number, because the mean of its divisors is an integer number (1921465).

Almost surely, 245423540 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 45423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69172740).

45423540 is an abundant number, since it is smaller than the sum of its proper divisors (92921940).

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

45423540 is a wasteful number, since it uses less digits than its factorization.

45423540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45423540 is about 6739.6988063266. The cubic root of 45423540 is about 356.8017636336.

Adding to 45423540 its reverse (4532454), we get a palindrome (49955994).

The spelling of 45423540 in words is "forty-five million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 617 818 1227 1234 1636 1851 2045 2454 2468 3085 3681 3702 4090 4908 5553 6135 6170 7362 7404 8180 9255 11106 12270 12340 14724 18405 18510 22212 24540 27765 36810 37020 55530 73620 111060 252353 504706 757059 1009412 1261765 1514118 2271177 2523530 3028236 3785295 4542354 5047060 7570590 9084708 11355885 15141180 22711770 45423540