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45423520 = 255733889
BaseRepresentation
bin1010110101000…
…1101110100000
310011110202100121
42231101232200
543112023040
64301330024
71061044042
oct255215640
9104422317
1045423520
11237053aa
1213266914
13954532c
146065a92
153ec3c4a
hex2b51ba0

45423520 has 48 divisors (see below), whose sum is σ = 108811080. Its totient is φ = 17915904.

The previous prime is 45423431. The next prime is 45423527. The reversal of 45423520 is 2532454.

It can be written as a sum of positive squares in 4 ways, for example, as 41113744 + 4309776 = 6412^2 + 2076^2 .

It is not an unprimeable number, because it can be changed into a prime (45423527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9736 + ... + 13624.

Almost surely, 245423520 is an apocalyptic number.

45423520 is a gapful number since it is divisible by the number (40) 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 45423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54405540).

45423520 is an abundant number, since it is smaller than the sum of its proper divisors (63387560).

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

45423520 is a wasteful number, since it uses less digits than its factorization.

45423520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 45423520 is about 6739.6973225806. The cubic root of 45423520 is about 356.8017112669.

Adding to 45423520 its reverse (2532454), we get a palindrome (47955974).

The spelling of 45423520 in words is "forty-five million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 3889 5840 7778 11680 15556 19445 31112 38890 62224 77780 124448 155560 283897 311120 567794 622240 1135588 1419485 2271176 2838970 4542352 5677940 9084704 11355880 22711760 45423520