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45469900 = 22527173821
BaseRepresentation
bin1010110101110…
…1000011001100
310011120002222101
42231131003030
543120014100
64302324444
71061326210
oct255350314
9104502871
1045469900
1123737233
1213289724
139560488
146078940
153ed286a
hex2b5d0cc

45469900 has 72 divisors (see below), whose sum is σ = 119429856. Its totient is φ = 14668800.

The previous prime is 45469871. The next prime is 45469903. The reversal of 45469900 is 996454.

45469900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45469900.

It is not an unprimeable number, because it can be changed into a prime (45469903) 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 23 ways as a sum of consecutive naturals, for example, 9990 + ... + 13810.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 245469900 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 45469900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928).

45469900 is an abundant number, since it is smaller than the sum of its proper divisors (73959956).

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

45469900 is a wasteful number, since it uses less digits than its factorization.

45469900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 45469900 is about 6743.1372520512. The cubic root of 45469900 is about 356.9231082455.

The spelling of 45469900 in words is "forty-five million, four hundred sixty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 3821 5950 7642 11900 15284 19105 26747 38210 53494 64957 76420 95525 106988 129914 133735 191050 259828 267470 324785 382100 454699 534940 649570 668675 909398 1299140 1337350 1623925 1818796 2273495 2674700 3247850 4546990 6495700 9093980 11367475 22734950 45469900