[go: up one dir, main page]

Search a number
-
+
40522720 = 255797373
BaseRepresentation
bin1001101010010…
…1001111100000
32211020202201111
42122211033200
540333211340
64004313104
71001303020
oct232451740
984222644
1040522720
1120968357
12116a2794
13851a754
14554ba80
153856aea
hex26a53e0

40522720 has 96 divisors (see below), whose sum is σ = 110835648. Its totient is φ = 13713408.

The previous prime is 40522697. The next prime is 40522723. The reversal of 40522720 is 2722504.

It is a junction number, because it is equal to n+sod(n) for n = 40522691 and 40522700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40522723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108454 + ... + 108826.

It is an arithmetic number, because the mean of its divisors is an integer number (1154538).

Almost surely, 240522720 is an apocalyptic number.

40522720 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 40522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55417824).

40522720 is an abundant number, since it is smaller than the sum of its proper divisors (70312928).

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

40522720 is a wasteful number, since it uses less digits than its factorization.

40522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 40522720 is about 6365.7458321865. The cubic root of 40522720 is about 343.4784778172.

The spelling of 40522720 in words is "forty million, five hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 373 388 485 560 679 746 776 970 1120 1358 1492 1552 1865 1940 2611 2716 2984 3104 3395 3730 3880 5222 5432 5968 6790 7460 7760 10444 10864 11936 13055 13580 14920 15520 20888 21728 26110 27160 29840 36181 41776 52220 54320 59680 72362 83552 104440 108640 144724 180905 208880 253267 289448 361810 417760 506534 578896 723620 1013068 1157792 1266335 1447240 2026136 2532670 2894480 4052272 5065340 5788960 8104544 10130680 20261360 40522720