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45256500 = 22325389113
BaseRepresentation
bin1010110010100…
…0111100110100
310011011021020200
42230220330310
543041202000
64254000500
71056450102
oct254507464
9104137220
1045256500
1123600973
12131a6130
1394b72c3
146020c72
153e8e500
hex2b28f34

45256500 has 144 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 11827200.

The previous prime is 45256483. The next prime is 45256507. The reversal of 45256500 is 565254.

45256500 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 650 + 0 = 666.

45256500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35856144 + 9400356 = 5988^2 + 3066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256507) 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 47 ways as a sum of consecutive naturals, for example, 400444 + ... + 400556.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 245256500 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 45256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480).

45256500 is an abundant number, since it is smaller than the sum of its proper divisors (100394460).

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

45256500 is a wasteful number, since it uses less digits than its factorization.

45256500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45256500 is about 6727.2951473828. The cubic root of 45256500 is about 356.3638601891.

It can be divided in two parts, 4525 and 6500, that added together give a square (11025 = 1052).

The spelling of 45256500 in words is "forty-five million, two hundred fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 113 125 150 178 180 225 226 250 267 300 339 356 375 445 450 452 500 534 565 678 750 801 890 900 1017 1068 1125 1130 1335 1356 1500 1602 1695 1780 2034 2225 2250 2260 2670 2825 3204 3390 4005 4068 4450 4500 5085 5340 5650 6675 6780 8010 8475 8900 10057 10170 11125 11300 13350 14125 16020 16950 20025 20114 20340 22250 25425 26700 28250 30171 33375 33900 40050 40228 42375 44500 50285 50850 56500 60342 66750 80100 84750 90513 100125 100570 101700 120684 127125 133500 150855 169500 181026 200250 201140 251425 254250 301710 362052 400500 452565 502850 508500 603420 754275 905130 1005700 1257125 1508550 1810260 2262825 2514250 3017100 3771375 4525650 5028500 7542750 9051300 11314125 15085500 22628250 45256500