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45235620 = 22325475347
BaseRepresentation
bin1010110010001…
…1110110100100
310011010012121100
42230203312210
543040014440
64253320100
71056332163
oct254436644
9104105540
1045235620
1123597211
1213196030
1394aa951
1460173da
153e88230
hex2b23da4

45235620 has 72 divisors (see below), whose sum is σ = 140160384. Its totient is φ = 11803968.

The previous prime is 45235609. The next prime is 45235633. The reversal of 45235620 is 2653254.

45235620 is a `hidden beast` number, since 4 + 5 + 2 + 35 + 620 = 666.

45235620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×452356202 = 4092522633568800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5787 + ... + 11133.

It is an arithmetic number, because the mean of its divisors is an integer number (1946672).

Almost surely, 245235620 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 45235620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70080192).

45235620 is an abundant number, since it is smaller than the sum of its proper divisors (94924764).

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

45235620 is a wasteful number, since it uses less digits than its factorization.

45235620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45235620 is about 6725.7430816230. The cubic root of 45235620 is about 356.3090465378.

Adding to 45235620 its reverse (2653254), we get a palindrome (47888874).

The spelling of 45235620 in words is "forty-five million, two hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 5347 8460 10694 16041 21388 26735 32082 48123 53470 64164 80205 96246 106940 160410 192492 240615 251309 320820 481230 502618 753927 962460 1005236 1256545 1507854 2261781 2513090 3015708 3769635 4523562 5026180 7539270 9047124 11308905 15078540 22617810 45235620