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45396820 = 2257437541
BaseRepresentation
bin1010110100101…
…1001101010100
310011102101201201
42231023031110
543110144240
64301002244
71060603150
oct255131524
9104371651
1045396820
1123697337
1213253384
139536131
14605a060
153ebad9a
hex2b4b354

45396820 has 48 divisors (see below), whose sum is σ = 111500928. Its totient is φ = 15200640.

The previous prime is 45396811. The next prime is 45396821. The reversal of 45396820 is 2869354.

45396820 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 2×453968202 = 4121742532224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45396820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45396821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2250 + ... + 9790.

It is an arithmetic number, because the mean of its divisors is an integer number (2322936).

Almost surely, 245396820 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 45396820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55750464).

45396820 is an abundant number, since it is smaller than the sum of its proper divisors (66104108).

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

45396820 is a wasteful number, since it uses less digits than its factorization.

45396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 45396820 is about 6737.7162302964. The cubic root of 45396820 is about 356.7317880723.

The spelling of 45396820 in words is "forty-five million, three hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 7541 15082 30164 37705 52787 75410 105574 150820 211148 263935 324263 527870 648526 1055740 1297052 1621315 2269841 3242630 4539682 6485260 9079364 11349205 22698410 45396820