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40896648 = 23321323361
BaseRepresentation
bin1001110000000…
…0100010001000
32211221202122200
42130000202020
540432143043
64020320200
71004421132
oct234004210
984852580
1040896648
11210a3291
1211843060
13861ba00
145608052
1538cc7d3
hex2700888

40896648 has 72 divisors (see below), whose sum is σ = 119972970. Its totient is φ = 12579840.

The previous prime is 40896637. The next prime is 40896659. The reversal of 40896648 is 84669804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40896637) and next prime (40896659).

It can be written as a sum of positive squares in 3 ways, for example, as 25826724 + 15069924 = 5082^2 + 3882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10488 + ... + 13848.

Almost surely, 240896648 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 40896648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59986485).

40896648 is an abundant number, since it is smaller than the sum of its proper divisors (79076322).

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

40896648 is a wasteful number, since it uses less digits than its factorization.

40896648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 40896648 is about 6395.0487097441. The cubic root of 40896648 is about 344.5317402819.

The spelling of 40896648 in words is "forty million, eight hundred ninety-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3361 4056 6084 6722 10083 12168 13444 20166 26888 30249 40332 43693 60498 80664 87386 120996 131079 174772 241992 262158 349544 393237 524316 568009 786474 1048632 1136018 1572948 1704027 2272036 3145896 3408054 4544072 5112081 6816108 10224162 13632216 20448324 40896648