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40525680 = 24351331419
BaseRepresentation
bin1001101010010…
…1111101110000
32211020220210010
42122211331300
540333310210
64004334520
71001314446
oct232457560
984226703
1040525680
112096a5a8
12116a4440
13851bbc0
14554cb96
153857920
hex26a5f70

40525680 has 160 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 9630720.

The previous prime is 40525679. The next prime is 40525691. The reversal of 40525680 is 8652504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96511 + ... + 96929.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 240525680 is an apocalyptic number.

40525680 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 40525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

40525680 is an abundant number, since it is smaller than the sum of its proper divisors (99465360).

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

40525680 is a wasteful number, since it uses less digits than its factorization.

40525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 40525680 is about 6365.9783223005. The cubic root of 40525680 is about 343.4868407927.

The spelling of 40525680 in words is "forty million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 419 465 496 520 620 624 744 780 806 838 930 1040 1209 1240 1257 1488 1560 1612 1676 1860 2015 2095 2418 2480 2514 3120 3224 3352 3720 4030 4190 4836 5028 5447 6045 6285 6448 6704 7440 8060 8380 9672 10056 10894 12090 12570 12989 16120 16341 16760 19344 20112 21788 24180 25140 25978 27235 32240 32682 33520 38967 43576 48360 50280 51956 54470 64945 65364 77934 81705 87152 96720 100560 103912 108940 129890 130728 155868 163410 168857 194835 207824 217880 259780 261456 311736 326820 337714 389670 435760 506571 519560 623472 653640 675428 779340 844285 1013142 1039120 1307280 1350856 1558680 1688570 2026284 2532855 2701712 3117360 3377140 4052568 5065710 6754280 8105136 10131420 13508560 20262840 40525680