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45000150 = 23521347491
BaseRepresentation
bin1010101110101…
…0010111010110
310010200020121020
42223222113112
543010001100
64244302010
71054331526
oct253522726
9103606536
1045000150
1123446308
12130a1906
139427710
145d95686
153e3d5a0
hex2aea5d6

45000150 has 96 divisors (see below), whose sum is σ = 122992128. Its totient is φ = 10819200.

The previous prime is 45000149. The next prime is 45000157. The reversal of 45000150 is 5100054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91405 + ... + 91895.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 245000150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45000150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496064).

45000150 is an abundant number, since it is smaller than the sum of its proper divisors (77991978).

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

45000150 is a wasteful number, since it uses less digits than its factorization.

45000150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45000150 is about 6708.2151128299. The cubic root of 45000150 is about 355.6897256589.

It can be divided in two parts, 45000 and 150, that added together give a triangular number (45150 = T300).

The spelling of 45000150 in words is "forty-five million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 47 50 65 75 78 94 130 141 150 195 235 282 325 390 470 491 611 650 705 975 982 1175 1222 1410 1473 1833 1950 2350 2455 2946 3055 3525 3666 4910 6110 6383 7050 7365 9165 12275 12766 14730 15275 18330 19149 23077 24550 30550 31915 36825 38298 45825 46154 63830 69231 73650 91650 95745 115385 138462 159575 191490 230770 300001 319150 346155 478725 576925 600002 692310 900003 957450 1153850 1500005 1730775 1800006 3000010 3461550 4500015 7500025 9000030 15000050 22500075 45000150