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40877946 = 23623253
BaseRepresentation
bin1001101111101…
…1111101111010
32211220211000000
42123323331322
540431043241
64020053430
71004312454
oct233737572
984824000
1040877946
112109022a
1211834276
138613345
1456012d4
1538c6eb6
hex26fbf7a

40877946 has 84 divisors (see below), whose sum is σ = 97917498. Its totient is φ = 12787632.

The previous prime is 40877939. The next prime is 40877951. The reversal of 40877946 is 64977804.

It can be written as a sum of positive squares in only one way, i.e., 31236921 + 9641025 = 5589^2 + 3105^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 771256 + ... + 771308.

Almost surely, 240877946 is an apocalyptic number.

40877946 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40877946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48958749).

40877946 is an abundant number, since it is smaller than the sum of its proper divisors (57039552).

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

40877946 is an equidigital number, since it uses as much as digits as its factorization.

40877946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 40877946 is about 6393.5863175529. The cubic root of 40877946 is about 344.4792142570.

The spelling of 40877946 in words is "forty million, eight hundred seventy-seven thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 138 159 162 207 243 318 414 477 486 529 621 729 954 1058 1219 1242 1431 1458 1587 1863 2438 2862 3174 3657 3726 4293 4761 5589 7314 8586 9522 10971 11178 12879 14283 16767 21942 25758 28037 28566 32913 33534 38637 42849 56074 65826 77274 84111 85698 98739 128547 168222 197478 252333 257094 296217 385641 504666 592434 756999 771282 888651 1513998 1777302 2270997 4541994 6812991 13625982 20438973 40877946