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45063920 = 24511411249
BaseRepresentation
bin1010101111100…
…1111011110000
310010210111002002
42223321323300
543014021140
64245513132
71055015456
oct253717360
9103714062
1045063920
112348a210
12131127a8
13944a755
145db09d6
153e52415
hex2af9ef0

45063920 has 80 divisors (see below), whose sum is σ = 117180000. Its totient is φ = 15974400.

The previous prime is 45063919. The next prime is 45063943. The reversal of 45063920 is 2936054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35456 + ... + 36704.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 245063920 is an apocalyptic number.

45063920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590000).

45063920 is an abundant number, since it is smaller than the sum of its proper divisors (72116080).

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

45063920 is a wasteful number, since it uses less digits than its factorization.

45063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 45063920 is about 6712.9665573426. The cubic root of 45063920 is about 355.8576630829.

Adding to 45063920 its reverse (2936054), we get a palindrome (47999974).

The spelling of 45063920 in words is "forty-five million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1249 1640 1804 2255 2498 3280 3608 4510 4996 6245 7216 9020 9992 12490 13739 18040 19984 24980 27478 36080 49960 51209 54956 68695 99920 102418 109912 137390 204836 219824 256045 274780 409672 512090 549560 563299 819344 1024180 1099120 1126598 2048360 2253196 2816495 4096720 4506392 5632990 9012784 11265980 22531960 45063920