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45838050 = 2352674561
BaseRepresentation
bin1010111011011…
…0111011100010
310012020210222120
42232312323202
543213304200
64314245110
71064421426
oct256667342
9105223876
1045838050
1123968895
1213426796
13965bc0b
146132b86
1540569a0
hex2bb6ee2

45838050 has 48 divisors (see below), whose sum is σ = 115400352. Its totient is φ = 12038400.

The previous prime is 45838031. The next prime is 45838061. The reversal of 45838050 is 5083854.

It is a happy number.

It is a super-2 number, since 2×458380502 = 4202253655605000, which contains 22 as substring.

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, 7770 + ... + 12330.

It is an arithmetic number, because the mean of its divisors is an integer number (2404174).

Almost surely, 245838050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45838050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57700176).

45838050 is an abundant number, since it is smaller than the sum of its proper divisors (69562302).

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

45838050 is a wasteful number, since it uses less digits than its factorization.

45838050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 45838050 is about 6770.3803438212. The cubic root of 45838050 is about 357.8838038266.

The spelling of 45838050 in words is "forty-five million, eight hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 4561 5025 9122 10050 13683 22805 27366 45610 68415 114025 136830 228050 305587 342075 611174 684150 916761 1527935 1833522 3055870 4583805 7639675 9167610 15279350 22919025 45838050