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45302490 = 2355103181
BaseRepresentation
bin1010110011010…
…0001011011010
310011020121100000
42230310023122
543044134430
64254553430
71060031142
oct254641332
9104217300
1045302490
1123632482
1213208876
13950220c
146033922
153e9ce60
hex2b342da

45302490 has 96 divisors (see below), whose sum is σ = 124016256. Its totient is φ = 11897280.

The previous prime is 45302489. The next prime is 45302531. The reversal of 45302490 is 9420354.

45302490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 250200 + ... + 250380.

It is an arithmetic number, because the mean of its divisors is an integer number (1291836).

Almost surely, 245302490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45302490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008128).

45302490 is an abundant number, since it is smaller than the sum of its proper divisors (78713766).

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

45302490 is a wasteful number, since it uses less digits than its factorization.

45302490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45302490 is about 6730.7124437165. The cubic root of 45302490 is about 356.4845325453.

The spelling of 45302490 in words is "forty-five million, three hundred two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 181 206 243 270 309 362 405 486 515 543 618 810 905 927 1030 1086 1215 1545 1629 1810 1854 2430 2715 2781 3090 3258 4635 4887 5430 5562 8145 8343 9270 9774 13905 14661 16290 16686 18643 24435 25029 27810 29322 37286 41715 43983 48870 50058 55929 73305 83430 87966 93215 111858 125145 146610 167787 186430 219915 250290 279645 335574 439830 503361 559290 838935 1006722 1510083 1677870 2516805 3020166 4530249 5033610 7550415 9060498 15100830 22651245 45302490