Search a number
-
+
40514232 = 233111941197
BaseRepresentation
bin1001101010001…
…1001010111000
32211020100002010
42122203022320
540332423412
64004205520
71001236203
oct232431270
984210063
1040514232
1120961a40
12116998a0
138516925
14554893a
15385433c
hex26a32b8

40514232 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 11289600.

The previous prime is 40514203. The next prime is 40514261. The reversal of 40514232 is 23241504.

It is an interprime number because it is at equal distance from previous prime (40514203) and next prime (40514261).

It is a junction number, because it is equal to n+sod(n) for n = 40514199 and 40514208.

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, 205558 + ... + 205754.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 240514232 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 40514232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

40514232 is an abundant number, since it is smaller than the sum of its proper divisors (79236168).

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

40514232 is a wasteful number, since it uses less digits than its factorization.

40514232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40514232 is about 6365.0791039861. The cubic root of 40514232 is about 343.4544941614.

Adding to 40514232 its reverse (23241504), we get a palindrome (63755736).

The spelling of 40514232 in words is "forty million, five hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 41 44 57 66 76 82 88 114 123 132 152 164 197 209 228 246 264 328 394 418 451 456 492 591 627 779 788 836 902 984 1182 1254 1353 1558 1576 1672 1804 2167 2337 2364 2508 2706 3116 3608 3743 4334 4674 4728 5016 5412 6232 6501 7486 8077 8569 8668 9348 10824 11229 13002 14972 16154 17138 17336 18696 22458 24231 25707 26004 29944 32308 34276 41173 44916 48462 51414 52008 64616 68552 82346 88847 89832 96924 102828 123519 153463 164692 177694 193848 205656 247038 266541 306926 329384 355388 460389 494076 533082 613852 710776 920778 988152 1066164 1227704 1688093 1841556 2132328 3376186 3683112 5064279 6752372 10128558 13504744 20257116 40514232