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40602690 = 23253789137
BaseRepresentation
bin1001101011100…
…0110001000010
32211101211102100
42122320301002
540343241230
64010131230
71002055122
oct232706102
984354370
1040602690
1120a12447
1211720b16
138547c7b
14556cc82
153870660
hex26b8c42

40602690 has 96 divisors (see below), whose sum is σ = 110438640. Its totient is φ = 10340352.

The previous prime is 40602643. The next prime is 40602691. The reversal of 40602690 is 9620604.

It can be written as a sum of positive squares in 8 ways, for example, as 21706281 + 18896409 = 4659^2 + 4347^2 .

It is a super-2 number, since 2×406026902 = 3297156870472200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40602691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296302 + ... + 296438.

Almost surely, 240602690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40602690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55219320).

40602690 is an abundant number, since it is smaller than the sum of its proper divisors (69835950).

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

40602690 is a wasteful number, since it uses less digits than its factorization.

40602690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40602690 is about 6372.0240112542. The cubic root of 40602690 is about 343.7042764528.

The spelling of 40602690 in words is "forty million, six hundred two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 89 90 111 137 178 185 222 267 274 333 370 411 445 534 555 666 685 801 822 890 1110 1233 1335 1370 1602 1665 2055 2466 2670 3293 3330 4005 4110 5069 6165 6586 8010 9879 10138 12193 12330 15207 16465 19758 24386 25345 29637 30414 32930 36579 45621 49395 50690 59274 60965 73158 76035 91242 98790 109737 121930 148185 152070 182895 219474 228105 296370 365790 451141 456210 548685 902282 1097370 1353423 2255705 2706846 4060269 4511410 6767115 8120538 13534230 20301345 40602690