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40835424 = 253728681
BaseRepresentation
bin1001101111000…
…1100101100000
32211211122200010
42123301211200
540423213144
64015124520
71004044500
oct233614540
984748603
1040835424
1121061293
1211813740
1385c9b96
1455cda00
1538b95b9
hex26f1960

40835424 has 72 divisors (see below), whose sum is σ = 124708248. Its totient is φ = 11665920.

The previous prime is 40835407. The next prime is 40835429. The reversal of 40835424 is 42453804.

It is a junction number, because it is equal to n+sod(n) for n = 40835391 and 40835400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40835429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (1732059).

Almost surely, 240835424 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 40835424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62354124).

40835424 is an abundant number, since it is smaller than the sum of its proper divisors (83872824).

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

40835424 is a wasteful number, since it uses less digits than its factorization.

40835424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 40835424 is about 6390.2600886036. The cubic root of 40835424 is about 344.3597282543.

The spelling of 40835424 in words is "forty million, eight hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 8681 17362 26043 34724 52086 60767 69448 104172 121534 138896 182301 208344 243068 277792 364602 416688 425369 486136 729204 833376 850738 972272 1276107 1458408 1701476 1944544 2552214 2916816 3402952 5104428 5833632 6805904 10208856 13611808 20417712 40835424