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40924692 = 22325389241
BaseRepresentation
bin1001110000011…
…1011000010100
32212000012010100
42130013120110
540434042232
64021054100
71004565654
oct234073024
985005110
1040924692
1121112366
1211857330
13862b6c3
145614364
1538d5c7c
hex2707614

40924692 has 72 divisors (see below), whose sum is σ = 107026920. Its totient is φ = 13178880.

The previous prime is 40924673. The next prime is 40924693. The reversal of 40924692 is 29642904.

40924692 is a `hidden beast` number, since 409 + 246 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 32421636 = 2916^2 + 5694^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40924693) 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 23 ways as a sum of consecutive naturals, for example, 169692 + ... + 169932.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 240924692 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 40924692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513460).

40924692 is an abundant number, since it is smaller than the sum of its proper divisors (66102228).

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

40924692 is a wasteful number, since it uses less digits than its factorization.

40924692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40924692 is about 6397.2409677923. The cubic root of 40924692 is about 344.6104740406.

It can be divided in two parts, 40924 and 692, that added together give a triangular number (41616 = T288).

The spelling of 40924692 in words is "forty million, nine hundred twenty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 241 267 318 356 477 482 534 636 723 801 954 964 1068 1446 1602 1908 2169 2892 3204 4338 4717 8676 9434 12773 14151 18868 21449 25546 28302 38319 42453 42898 51092 56604 64347 76638 84906 85796 114957 128694 153276 169812 193041 229914 257388 386082 459828 772164 1136797 2273594 3410391 4547188 6820782 10231173 13641564 20462346 40924692