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40623132 = 223111743421
BaseRepresentation
bin1001101011110…
…1110000011100
32211102212110110
42122331300130
540344420012
64010410020
71002201534
oct232756034
984385413
1040623132
1120a26840
1211730910
138554374
1455764c4
15387673c
hex26bdc1c

40623132 has 96 divisors (see below), whose sum is σ = 112299264. Its totient is φ = 11289600.

The previous prime is 40623127. The next prime is 40623137. The reversal of 40623132 is 23132604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40623127) and next prime (40623137).

It is a junction number, because it is equal to n+sod(n) for n = 40623099 and 40623108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40623137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96282 + ... + 96702.

It is an arithmetic number, because the mean of its divisors is an integer number (1169784).

Almost surely, 240623132 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 40623132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56149632).

40623132 is an abundant number, since it is smaller than the sum of its proper divisors (71676132).

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

40623132 is a wasteful number, since it uses less digits than its factorization.

40623132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 40623132 is about 6373.6278523303. The cubic root of 40623132 is about 343.7619477059.

Adding to 40623132 its reverse (23132604), we get a palindrome (63755736).

It can be divided in two parts, 40623 and 132, that added together give a triangular number (40755 = T285).

The spelling of 40623132 in words is "forty million, six hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 43 44 51 66 68 86 102 129 132 172 187 204 258 374 421 473 516 561 731 748 842 946 1122 1263 1419 1462 1684 1892 2193 2244 2526 2838 2924 4386 4631 5052 5676 7157 8041 8772 9262 13893 14314 16082 18103 18524 21471 24123 27786 28628 32164 36206 42942 48246 54309 55572 72412 78727 85884 96492 108618 157454 199133 217236 236181 307751 314908 398266 472362 597399 615502 796532 923253 944724 1194798 1231004 1846506 2389596 3385261 3693012 6770522 10155783 13541044 20311566 40623132