Search a number
-
+
40800528 = 24322397127
BaseRepresentation
bin1001101110100…
…1000100010000
32211202212210200
42123221010100
540421104103
64014255200
71003540656
oct233510420
984685720
1040800528
112103804a
12117b7500
1385b7032
1455c0dd6
1538ae0a3
hex26e9110

40800528 has 120 divisors (see below), whose sum is σ = 121325568. Its totient is φ = 12773376.

The previous prime is 40800517. The next prime is 40800533. The reversal of 40800528 is 82500804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321201 + ... + 321327.

Almost surely, 240800528 is an apocalyptic number.

40800528 is a gapful number since it is divisible by the number (48) 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 40800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60662784).

40800528 is an abundant number, since it is smaller than the sum of its proper divisors (80525040).

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

40800528 is a wasteful number, since it uses less digits than its factorization.

40800528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 40800528 is about 6387.5290997380. The cubic root of 40800528 is about 344.2616091825.

It can be divided in two parts, 40800 and 528, that added together give a triangular number (41328 = T287).

The spelling of 40800528 in words is "forty million, eight hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 127 138 144 184 194 207 254 276 291 368 381 388 414 508 552 582 762 776 828 873 1016 1104 1143 1164 1524 1552 1656 1746 2032 2231 2286 2328 2921 3048 3312 3492 4462 4572 4656 5842 6096 6693 6984 8763 8924 9144 11684 12319 13386 13968 17526 17848 18288 20079 23368 24638 26289 26772 35052 35696 36957 40158 46736 49276 52578 53544 70104 73914 80316 98552 105156 107088 110871 140208 147828 160632 197104 210312 221742 283337 295656 321264 420624 443484 566674 591312 850011 886968 1133348 1700022 1773936 2266696 2550033 3400044 4533392 5100066 6800088 10200132 13600176 20400264 40800528