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45148404 = 223741567
BaseRepresentation
bin1010110000111…
…0100011110100
310010221202222010
42230032203310
543024222104
64251404220
71055520000
oct254164364
9103852863
1045148404
1123537734
1213153670
13947a042
145dd3700
153e6c489
hex2b0e8f4

45148404 has 60 divisors (see below), whose sum is σ = 122975104. Its totient is φ = 12891312.

The previous prime is 45148391. The next prime is 45148429. The reversal of 45148404 is 40484154.

45148404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 28029 + ... + 29595.

Almost surely, 245148404 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 45148404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61487552).

45148404 is an abundant number, since it is smaller than the sum of its proper divisors (77826700).

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

45148404 is a wasteful number, since it uses less digits than its factorization.

45148404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 45148404 is about 6719.2562088374. The cubic root of 45148404 is about 356.0799067358.

The spelling of 45148404 in words is "forty-five million, one hundred forty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1567 2058 2401 3134 4116 4701 4802 6268 7203 9402 9604 10969 14406 18804 21938 28812 32907 43876 65814 76783 131628 153566 230349 307132 460698 537481 921396 1074962 1612443 2149924 3224886 3762367 6449772 7524734 11287101 15049468 22574202 45148404