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40242496 = 267432089
BaseRepresentation
bin1001100110000…
…0110101000000
32210201112022211
42121200311000
540300224441
63554311504
7666025030
oct231406500
983645284
1040242496
1120796868
1211588594
138450038
1454b78c0
1537eda81
hex2660d40

40242496 has 56 divisors (see below), whose sum is σ = 93431360. Its totient is φ = 16837632.

The previous prime is 40242469. The next prime is 40242497. The reversal of 40242496 is 69424204.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18220 + ... + 20308.

Almost surely, 240242496 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 40242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46715680).

40242496 is an abundant number, since it is smaller than the sum of its proper divisors (53188864).

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

40242496 is a wasteful number, since it uses less digits than its factorization.

40242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 40242496 is about 6343.6973446091. The cubic root of 40242496 is about 342.6849013160.

The spelling of 40242496 in words is "forty million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2089 2408 2752 4178 4816 8356 9632 14623 16712 19264 29246 33424 58492 66848 89827 116984 133696 179654 233968 359308 467936 628789 718616 935872 1257578 1437232 2515156 2874464 5030312 5748928 10060624 20121248 40242496