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40495000 = 235471389
BaseRepresentation
bin1001101001111…
…0011110011000
32211012100200211
42122132132120
540331320000
64003540504
71001126140
oct232363630
984170624
1040495000
1120949547
121168a734
13850ac50
145541920
15384d7ba
hex269e798

40495000 has 160 divisors (see below), whose sum is σ = 118087200. Its totient is φ = 12672000.

The previous prime is 40494977. The next prime is 40495043. The reversal of 40495000 is 59404.

40495000 = T1 + T2 + ... + T623.

40495000 is a nontrivial binomial coefficient, being equal to C(625, 3).

It is a congruent number.

It is an unprimeable number.

It is the 623-rd tetrahedral number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454956 + ... + 455044.

It is an arithmetic number, because the mean of its divisors is an integer number (738045).

Almost surely, 240495000 is an apocalyptic number.

40495000 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 40495000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043600).

40495000 is an abundant number, since it is smaller than the sum of its proper divisors (77592200).

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

40495000 is a wasteful number, since it uses less digits than its factorization.

40495000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40495000 is about 6363.5681814529. The cubic root of 40495000 is about 343.4001399098.

The spelling of 40495000 in words is "forty million, four hundred ninety-five thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 89 91 100 104 125 130 140 175 178 182 200 250 260 280 325 350 356 364 445 455 500 520 623 625 650 700 712 728 875 890 910 1000 1157 1246 1250 1300 1400 1625 1750 1780 1820 2225 2275 2314 2492 2500 2600 3115 3250 3500 3560 3640 4375 4450 4550 4628 4984 5000 5785 6230 6500 7000 8099 8125 8750 8900 9100 9256 11125 11375 11570 12460 13000 15575 16198 16250 17500 17800 18200 22250 22750 23140 24920 28925 31150 32396 32500 35000 40495 44500 45500 46280 55625 56875 57850 62300 64792 65000 77875 80990 89000 91000 111250 113750 115700 124600 144625 155750 161980 202475 222500 227500 231400 289250 311500 323960 389375 404950 445000 455000 578500 623000 723125 778750 809900 1012375 1157000 1446250 1557500 1619800 2024750 2892500 3115000 4049500 5061875 5785000 8099000 10123750 20247500 40495000