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45540150 = 2352192292
BaseRepresentation
bin1010110110111…
…0001100110110
310011200200100020
42231232030312
543124241100
64304030010
71062041055
oct255561466
9104620306
1045540150
1123784a97
1213302306
139586446
14609639c
153ee85a0
hex2b6e336

45540150 has 108 divisors (see below), whose sum is σ = 123448572. Its totient is φ = 11108160.

The previous prime is 45540149. The next prime is 45540151. The reversal of 45540150 is 5104554.

It is an interprime number because it is at equal distance from previous prime (45540149) and next prime (45540151).

It is a super-3 number, since 3×455401503 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45540150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45540151) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1570336 + ... + 1570364.

Almost surely, 245540150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724286).

45540150 is an abundant number, since it is smaller than the sum of its proper divisors (77908422).

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

45540150 is a wasteful number, since it uses less digits than its factorization.

45540150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 45540150 is about 6748.3442413677. The cubic root of 45540150 is about 357.1068264604.

Multiplying 45540150 by its sum of digits (24), we get a square (1092963600 = 330602).

The spelling of 45540150 in words is "forty-five million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 145 150 174 190 285 290 361 435 475 551 570 722 725 841 870 950 1083 1102 1425 1450 1653 1682 1805 2166 2175 2523 2755 2850 3306 3610 4205 4350 5046 5415 5510 8265 8410 9025 10469 10830 12615 13775 15979 16530 18050 20938 21025 25230 27075 27550 31407 31958 41325 42050 47937 52345 54150 62814 63075 79895 82650 95874 104690 126150 157035 159790 239685 261725 303601 314070 399475 479370 523450 607202 785175 798950 910803 1198425 1518005 1570350 1821606 2396850 3036010 4554015 7590025 9108030 15180050 22770075 45540150