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45355050 = 23252137753
BaseRepresentation
bin1010110100000…
…1000000101010
310011100021102200
42231001000222
543102330200
64300041030
71060340316
oct255010052
9104307380
1045355050
1123668a14
1213233176
139520110
146048b46
153ead800
hex2b4102a

45355050 has 72 divisors (see below), whose sum is σ = 131244204. Its totient is φ = 11162880.

The previous prime is 45355027. The next prime is 45355069. The reversal of 45355050 is 5055354.

It can be written as a sum of positive squares in 6 ways, for example, as 23648769 + 21706281 = 4863^2 + 4659^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1974 + ... + 9726.

Almost surely, 245355050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45355050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65622102).

45355050 is an abundant number, since it is smaller than the sum of its proper divisors (85889154).

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

45355050 is a wasteful number, since it uses less digits than its factorization.

45355050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 45355050 is about 6734.6158019593. The cubic root of 45355050 is about 356.6223438483.

The spelling of 45355050 in words is "forty-five million, three hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 7753 15506 23259 38765 46518 69777 77530 100789 116295 139554 193825 201578 232590 302367 348885 387650 503945 581475 604734 697770 907101 1007890 1162950 1511835 1744425 1814202 2519725 3023670 3488850 4535505 5039450 7559175 9071010 15118350 22677525 45355050