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40998408 = 23311971601
BaseRepresentation
bin1001110001100…
…1011000001000
32212010221020120
42130121120020
540443422113
64022423240
71005323613
oct234313010
985127216
1040998408
1121162790
1211891b20
138656119
14563317a
1538eca23
hex2719608

40998408 has 64 divisors (see below), whose sum is σ = 113037120. Its totient is φ = 12288000.

The previous prime is 40998403. The next prime is 40998421. The reversal of 40998408 is 80489904.

It is a Cunningham number, because it is equal to 64032-1.

It is a self number, because there is not a number n which added to its sum of digits gives 40998408.

It is not an unprimeable number, because it can be changed into a prime (40998403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24808 + ... + 26408.

It is an arithmetic number, because the mean of its divisors is an integer number (1766205).

Almost surely, 240998408 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 40998408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56518560).

40998408 is an abundant number, since it is smaller than the sum of its proper divisors (72038712).

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

40998408 is a wasteful number, since it uses less digits than its factorization.

40998408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 40998408 is about 6402.9999219116. Note that the first 4 decimals coincide. The cubic root of 40998408 is about 344.8172609221.

The spelling of 40998408 in words is "forty million, nine hundred ninety-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 1601 2134 2328 3201 3202 4268 4803 6402 6404 8536 9606 12804 12808 17611 19212 25608 35222 38424 52833 70444 105666 140888 155297 211332 310594 422664 465891 621188 931782 1242376 1708267 1863564 3416534 3727128 5124801 6833068 10249602 13666136 20499204 40998408