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40326048 = 2532783241
BaseRepresentation
bin1001100111010…
…1001110100000
32210212202221100
42121311032200
540310413143
64000154400
7666523440
oct231651640
983782840
1040326048
1120843614
1211608a00
13847c089
1454da120
1538186d3
hex26753a0

40326048 has 144 divisors (see below), whose sum is σ = 133189056. Its totient is φ = 11335680.

The previous prime is 40326043. The next prime is 40326049. The reversal of 40326048 is 84062304.

It is a tau number, because it is divible by the number of its divisors (144).

40326048 is a modest number, since divided by 6048 gives 4032 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40326043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167208 + ... + 167448.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 240326048 is an apocalyptic number.

40326048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66594528).

40326048 is an abundant number, since it is smaller than the sum of its proper divisors (92863008).

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

40326048 is a wasteful number, since it uses less digits than its factorization.

40326048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40326048 is about 6350.2793639335. The cubic root of 40326048 is about 342.9218996731.

The spelling of 40326048 in words is "forty million, three hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 241 249 252 288 332 336 482 498 504 581 664 672 723 747 964 996 1008 1162 1328 1446 1494 1687 1743 1928 1992 2016 2169 2324 2656 2892 2988 3374 3486 3856 3984 4338 4648 5061 5229 5784 5976 6748 6972 7712 7968 8676 9296 10122 10458 11568 11952 13496 13944 15183 17352 18592 20003 20244 20916 23136 23904 26992 27888 30366 34704 40006 40488 41832 53984 55776 60009 60732 69408 80012 80976 83664 120018 121464 140021 160024 161952 167328 180027 240036 242928 280042 320048 360054 420063 480072 485856 560084 640096 720108 840126 960144 1120168 1260189 1440216 1680252 1920288 2240336 2520378 2880432 3360504 4480672 5040756 5760864 6721008 10081512 13442016 20163024 40326048