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45022516 = 227111271151
BaseRepresentation
bin1010101110111…
…1110100110100
310010201101021121
42223233310310
543011210031
64244553324
71054453660
oct253576464
9103641247
1045022516
11234610a0
12130b2844
139434956
145d9d8a0
153e45011
hex2aefd34

45022516 has 48 divisors (see below), whose sum is σ = 99090432. Its totient is φ = 17388000.

The previous prime is 45022513. The next prime is 45022543. The reversal of 45022516 is 61522054.

45022516 = 8692 + 8702 + ... + 9242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45022513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38541 + ... + 39691.

It is an arithmetic number, because the mean of its divisors is an integer number (2064384).

Almost surely, 245022516 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 45022516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49545216).

45022516 is an abundant number, since it is smaller than the sum of its proper divisors (54067916).

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

45022516 is a wasteful number, since it uses less digits than its factorization.

45022516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 45022516 is about 6709.8819661750. The cubic root of 45022516 is about 355.7486442683.

It can be divided in two parts, 450225 and 16, that added together give a square (450241 = 6712).

The spelling of 45022516 in words is "forty-five million, twenty-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1151 1397 1778 2302 2794 3556 4604 5588 8057 9779 12661 16114 19558 25322 32228 39116 50644 88627 146177 177254 292354 354508 584708 1023239 1607947 2046478 3215894 4092956 6431788 11255629 22511258 45022516