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40025520 = 24325232417
BaseRepresentation
bin1001100010101…
…1110110110000
32210022111200200
42120223312300
540221304040
63545515200
7664132323
oct230536660
983274620
1040025520
1120658847
12114a2b00
1383a5352
14545c7ba
1537a9630
hex262bdb0

40025520 has 120 divisors (see below), whose sum is σ = 140321376. Its totient is φ = 10205184.

The previous prime is 40025519. The next prime is 40025551. The reversal of 40025520 is 2552004.

40025520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40025493 and 40025502.

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 23 ways as a sum of consecutive naturals, for example, 15352 + ... + 17768.

Almost surely, 240025520 is an apocalyptic number.

40025520 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 40025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70160688).

40025520 is an abundant number, since it is smaller than the sum of its proper divisors (100295856).

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

40025520 is a wasteful number, since it uses less digits than its factorization.

40025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40025520 is about 6326.5725317900. The cubic root of 40025520 is about 342.0679048503.

Adding to 40025520 its reverse (2552004), we get a palindrome (42577524).

The spelling of 40025520 in words is "forty million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2417 2760 3312 4140 4834 5520 7251 8280 9668 12085 14502 16560 19336 21753 24170 29004 36255 38672 43506 48340 55591 58008 72510 87012 96680 108765 111182 116016 145020 166773 174024 193360 217530 222364 277955 290040 333546 348048 435060 444728 500319 555910 580080 667092 833865 870120 889456 1000638 1111820 1334184 1667730 1740240 2001276 2223640 2501595 2668368 3335460 4002552 4447280 5003190 6670920 8005104 10006380 13341840 20012760 40025520