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45001424 = 24131959193
BaseRepresentation
bin1010101110101…
…0101011010000
310010200022100102
42223222223100
543010021144
64244311532
71054335326
oct253525320
9103608312
1045001424
1123447266
12130a25a8
139428180
145d95d16
153e3db4e
hex2aeaad0

45001424 has 80 divisors (see below), whose sum is σ = 101035200. Its totient is φ = 19243008.

The previous prime is 45001403. The next prime is 45001441. The reversal of 45001424 is 42410054.

45001424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45001396 and 45001405.

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 15 ways as a sum of consecutive naturals, for example, 233072 + ... + 233264.

It is an arithmetic number, because the mean of its divisors is an integer number (1262940).

Almost surely, 245001424 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 45001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50517600).

45001424 is an abundant number, since it is smaller than the sum of its proper divisors (56033776).

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

45001424 is a wasteful number, since it uses less digits than its factorization.

45001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45001424 is about 6708.3100703530. The cubic root of 45001424 is about 355.6930822732.

Adding to 45001424 its reverse (42410054), we get a palindrome (87411478).

The spelling of 45001424 in words is "forty-five million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 59 76 104 118 152 193 208 236 247 304 386 472 494 767 772 944 988 1121 1534 1544 1976 2242 2509 3068 3088 3667 3952 4484 5018 6136 7334 8968 10036 11387 12272 14573 14668 17936 20072 22774 29146 29336 40144 45548 47671 58292 58672 91096 95342 116584 148031 182192 190684 216353 233168 296062 381368 432706 592124 762736 865412 1184248 1730824 2368496 2812589 3461648 5625178 11250356 22500712 45001424