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40935048 = 233711171303
BaseRepresentation
bin1001110000100…
…1111010001000
32212000201022220
42130021322020
540434410143
64021214040
71004641110
oct234117210
985021286
1040935048
112111a120
1211861320
13863332b
145618040
1538d8d83
hex2709e88

40935048 has 128 divisors (see below), whose sum is σ = 135198720. Its totient is φ = 9999360.

The previous prime is 40935023. The next prime is 40935077. The reversal of 40935048 is 84053904.

40935048 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30765 + ... + 32067.

It is an arithmetic number, because the mean of its divisors is an integer number (1056240).

Almost surely, 240935048 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 40935048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67599360).

40935048 is an abundant number, since it is smaller than the sum of its proper divisors (94263672).

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

40935048 is a wasteful number, since it uses less digits than its factorization.

40935048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40935048 is about 6398.0503280296. The cubic root of 40935048 is about 344.6395395014.

The spelling of 40935048 in words is "forty million, nine hundred thirty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1303 1309 1428 1496 1848 2244 2606 2618 2856 3909 3927 4488 5212 5236 7818 7854 9121 10424 10472 14333 15636 15708 18242 22151 27363 28666 31272 31416 36484 42999 44302 54726 57332 66453 72968 85998 88604 100331 109452 114664 132906 155057 171996 177208 200662 218904 243661 265812 300993 310114 343992 401324 465171 487322 531624 601986 620228 730983 802648 930342 974644 1203972 1240456 1461966 1705627 1860684 1949288 2407944 2923932 3411254 3721368 5116881 5847864 6822508 10233762 13645016 20467524 40935048