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40098097 = 1329314773
BaseRepresentation
bin1001100011110…
…1100100110001
32210110012020201
42120331210301
540231114342
63551235201
7664554034
oct230754461
983405221
1040098097
11206a8326
1211518b01
1383cc3b0
14547b01b
1537c0db7
hex263d931

40098097 has 32 divisors (see below), whose sum is σ = 47738880. Its totient is φ = 33384960.

The previous prime is 40098083. The next prime is 40098103. The reversal of 40098097 is 79089004.

It is a happy number.

40098097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40098097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40098007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549253 + ... + 549325.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 240098097 is an apocalyptic number.

40098097 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

40098097 is a deficient number, since it is larger than the sum of its proper divisors (7640783).

40098097 is a wasteful number, since it uses less digits than its factorization.

40098097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 40098097 is about 6332.3058201575. The cubic root of 40098097 is about 342.2745336201.

The spelling of 40098097 in words is "forty million, ninety-eight thousand, ninety-seven".

Divisors: 1 13 29 31 47 73 377 403 611 899 949 1363 1457 2117 2263 3431 11687 17719 18941 27521 29419 42253 44603 65627 99499 106361 549289 853151 1293487 1382693 3084469 40098097