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45050904 = 2334371879
BaseRepresentation
bin1010101111011…
…0110000011000
310010202211020000
42223312300120
543013112104
64245333000
71054632513
oct253666030
9103684200
1045050904
1123480458
1213107160
139444852
145da9d7a
153e4d639
hex2af6c18

45050904 has 80 divisors (see below), whose sum is σ = 129663600. Its totient is φ = 14603328.

The previous prime is 45050903. The next prime is 45050911. The reversal of 45050904 is 40905054.

45050904 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45050903) 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 19 ways as a sum of consecutive naturals, for example, 23037 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (1620795).

Almost surely, 245050904 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 45050904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64831800).

45050904 is an abundant number, since it is smaller than the sum of its proper divisors (84612696).

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

45050904 is a wasteful number, since it uses less digits than its factorization.

45050904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45050904 is about 6711.9970202616. The cubic root of 45050904 is about 355.8233984993.

Adding to 45050904 its reverse (40905054), we get a palindrome (85955958).

It can be divided in two parts, 45050 and 904, that added together give a palindrome (45954).

The spelling of 45050904 in words is "forty-five million, fifty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1879 1998 2664 2997 3758 3996 5637 5994 7516 7992 11274 11988 15032 16911 22548 23976 33822 45096 50733 67644 69523 101466 135288 139046 152199 202932 208569 278092 304398 405864 417138 556184 608796 625707 834276 1217592 1251414 1668552 1877121 2502828 3754242 5005656 5631363 7508484 11262726 15016968 22525452 45050904