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40825599400 = 23528916314071
BaseRepresentation
bin100110000001011001…
…010011010110101000
310220101012120022222001
4212001121103112220
51132102323140100
630431030140344
72643460604065
oct460131232650
9126335508861
1040825599400
111634aa940a3
127ab44b16b4
133b08129411
141d940bbc6c
1510de218d6a
hex9816535a8

40825599400 has 96 divisors (see below), whose sum is σ = 96581764800. Its totient is φ = 16046553600.

The previous prime is 40825599391. The next prime is 40825599431. The reversal of 40825599400 is 499552804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2894365 + ... + 2908435.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060050).

Almost surely, 240825599400 is an apocalyptic number.

40825599400 is a gapful number since it is divisible by the number (40) 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 40825599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48290882400).

40825599400 is an abundant number, since it is smaller than the sum of its proper divisors (55756165400).

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

40825599400 is a wasteful number, since it uses less digits than its factorization.

40825599400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14330 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 40825599400 in words is "forty billion, eight hundred twenty-five million, five hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 163 178 200 326 356 445 652 712 815 890 1304 1630 1780 2225 3260 3560 4075 4450 6520 8150 8900 14071 14507 16300 17800 28142 29014 32600 56284 58028 70355 72535 112568 116056 140710 145070 281420 290140 351775 362675 562840 580280 703550 725350 1252319 1407100 1450700 2293573 2504638 2814200 2901400 4587146 5009276 6261595 9174292 10018552 11467865 12523190 18348584 22935730 25046380 31307975 45871460 50092760 57339325 62615950 91742920 114678650 125231900 204127997 229357300 250463800 408255994 458714600 816511988 1020639985 1633023976 2041279970 4082559940 5103199925 8165119880 10206399850 20412799700 40825599400