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40748202 = 23211253353
BaseRepresentation
bin1001101101110…
…0010010101010
32211200020000200
42123130102222
540412420302
64013213030
71003232265
oct233342252
984606020
1040748202
1121001800
1211791176
138599281
1455a9cdc
15389d81c
hex26dc4aa

40748202 has 72 divisors (see below), whose sum is σ = 99154692. Its totient is φ = 12080640.

The previous prime is 40748177. The next prime is 40748209. The reversal of 40748202 is 20284704.

40748202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40564161 + 184041 = 6369^2 + 429^2 .

It is not an unprimeable number, because it can be changed into a prime (40748209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115258 + ... + 115610.

Almost surely, 240748202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40748202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49577346).

40748202 is an abundant number, since it is smaller than the sum of its proper divisors (58406490).

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

40748202 is a wasteful number, since it uses less digits than its factorization.

40748202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40748202 is about 6383.4318356195. The cubic root of 40748202 is about 344.1143762900.

The spelling of 40748202 in words is "forty million, seven hundred forty-eight thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 353 363 477 583 706 726 954 1059 1089 1166 1749 2118 2178 3177 3498 3883 5247 6354 6413 7766 10494 11649 12826 18709 19239 23298 34947 37418 38478 42713 56127 57717 69894 85426 112254 115434 128139 168381 205799 256278 336762 384417 411598 617397 768834 1234794 1852191 2263789 3704382 4527578 6791367 13582734 20374101 40748202