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40726656 = 273235353
BaseRepresentation
bin1001101101011…
…1000010000000
32211122010110200
42123113002000
540411223111
64012525200
71003112415
oct233270200
984563420
1040726656
1120a975a3
1211780800
13858c519
1455a210c
153897256
hex26d7080

40726656 has 48 divisors (see below), whose sum is σ = 117198510. Its totient is φ = 13575168.

The previous prime is 40726649. The next prime is 40726657. The reversal of 40726656 is 65662704.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 19713600 = 4584^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40726656.

It is not an unprimeable number, because it can be changed into a prime (40726657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16525 + ... + 18828.

Almost surely, 240726656 is an apocalyptic number.

It is an amenable number.

40726656 is an abundant number, since it is smaller than the sum of its proper divisors (76471854).

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

40726656 is a wasteful number, since it uses less digits than its factorization.

40726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35373 (or 35358 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40726656 is about 6381.7439622724. The cubic root of 40726656 is about 344.0537143453.

The spelling of 40726656 in words is "forty million, seven hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 35353 70706 106059 141412 212118 282824 318177 424236 565648 636354 848472 1131296 1272708 1696944 2262592 2545416 3393888 4525184 5090832 6787776 10181664 13575552 20363328 40726656