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40990968 = 23332337223
BaseRepresentation
bin1001110001011…
…1100011111000
32212010120001000
42130113203320
540443202333
64022325000
71005263124
oct234274370
985116030
1040990968
1121158137
1211889760
138652915
145630584
1538ea713
hex27178f8

40990968 has 128 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 12659328.

The previous prime is 40990933. The next prime is 40990969. The reversal of 40990968 is 86909904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40990969) 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, 183705 + ... + 183927.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 240990968 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 40990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

40990968 is an abundant number, since it is smaller than the sum of its proper divisors (81581832).

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

40990968 is a wasteful number, since it uses less digits than its factorization.

40990968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 40990968 is about 6402.4189178778. The cubic root of 40990968 is about 344.7964016112.

The spelling of 40990968 in words is "forty million, nine hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 92 108 111 138 148 184 207 216 222 223 276 296 333 414 444 446 552 621 666 669 828 851 888 892 999 1242 1332 1338 1656 1702 1784 1998 2007 2484 2553 2664 2676 3404 3996 4014 4968 5106 5129 5352 6021 6808 7659 7992 8028 8251 10212 10258 12042 15318 15387 16056 16502 20424 20516 22977 24084 24753 30636 30774 33004 41032 45954 46161 48168 49506 61272 61548 66008 74259 91908 92322 99012 123096 138483 148518 183816 184644 189773 198024 222777 276966 297036 369288 379546 445554 553932 569319 594072 759092 891108 1107864 1138638 1518184 1707957 1782216 2277276 3415914 4554552 5123871 6831828 10247742 13663656 20495484 40990968