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45057540 = 223511233293
BaseRepresentation
bin1010101111100…
…0011000000100
310010210011022210
42223320120010
543013320130
64245423420
71054661043
oct253703004
9103704283
1045057540
1123485440
121310ab70
139447888
145dac55a
153e505b0
hex2af8604

45057540 has 96 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 10839040.

The previous prime is 45057521. The next prime is 45057553. The reversal of 45057540 is 4575054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45057498 and 45057507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153634 + ... + 153926.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 245057540 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 45057540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

45057540 is an abundant number, since it is smaller than the sum of its proper divisors (93635196).

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

45057540 is a wasteful number, since it uses less digits than its factorization.

45057540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 45057540 is about 6712.4913407765. The cubic root of 45057540 is about 355.8408685753.

The spelling of 45057540 in words is "forty-five million, fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 293 330 466 586 660 699 879 932 1165 1172 1398 1465 1758 2330 2563 2796 2930 3223 3495 3516 4395 4660 5126 5860 6446 6990 7689 8790 9669 10252 12815 12892 13980 15378 16115 17580 19338 25630 30756 32230 38445 38676 48345 51260 64460 68269 76890 96690 136538 153780 193380 204807 273076 341345 409614 682690 750959 819228 1024035 1365380 1501918 2048070 2252877 3003836 3754795 4096140 4505754 7509590 9011508 11264385 15019180 22528770 45057540