[go: up one dir, main page]

Search a number
-
+
40596468 = 22311273383
BaseRepresentation
bin1001101011011…
…1001111110100
32211101111212220
42122313033310
540343041333
64010042340
71002031023
oct232671764
984344786
1040596468
1120a08800
12117193b0
1385451a3
14556a8ba
15386d8b3
hex26b73f4

40596468 has 72 divisors (see below), whose sum is σ = 105821184. Its totient is φ = 12101760.

The previous prime is 40596467. The next prime is 40596469. The reversal of 40596468 is 86469504.

It is an interprime number because it is at equal distance from previous prime (40596467) and next prime (40596469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40596467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105805 + ... + 106187.

Almost surely, 240596468 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 40596468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52910592).

40596468 is an abundant number, since it is smaller than the sum of its proper divisors (65224716).

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

40596468 is a wasteful number, since it uses less digits than its factorization.

40596468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 40596468 is about 6371.5357646332. The cubic root of 40596468 is about 343.6867190180.

The spelling of 40596468 in words is "forty million, five hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 219 242 292 363 383 438 484 726 766 803 876 1149 1452 1532 1606 2298 2409 3212 4213 4596 4818 8426 8833 9636 12639 16852 17666 25278 26499 27959 35332 46343 50556 52998 55918 83877 92686 105996 111836 139029 167754 185372 278058 307549 335508 556116 615098 922647 1230196 1845294 3383039 3690588 6766078 10149117 13532156 20298234 40596468