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995495040 = 27325172829
BaseRepresentation
bin111011010101100…
…000110010000000
32120101012101110200
4323111200302000
54014321320130
6242440525200
733445365621
oct7325406200
92511171420
10995495040
11470a27181
12239480800
1312b320827
14962d7a48
155c5e1760
hex3b560c80

995495040 has 96 divisors (see below), whose sum is σ = 3437588700. Its totient is φ = 265463808.

The previous prime is 995495009. The next prime is 995495041. The reversal of 995495040 is 40594599.

995495040 is a `hidden beast` number, since 99 + 54 + 9 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 839145024 + 156350016 = 28968^2 + 12504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (995495041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80655 + ... + 92174.

Almost surely, 2995495040 is an apocalyptic number.

995495040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

995495040 is an abundant number, since it is smaller than the sum of its proper divisors (2442093660).

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

995495040 is a wasteful number, since it uses less digits than its factorization.

995495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172854 (or 172839 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 995495040 is about 31551.4665269302. The cubic root of 995495040 is about 998.4960860433.

The spelling of 995495040 in words is "nine hundred ninety-five million, four hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 172829 345658 518487 691316 864145 1036974 1382632 1555461 1728290 2073948 2592435 2765264 3110922 3456580 4147896 5184870 5530528 6221844 6913160 7777305 8295792 10369740 11061056 12443688 13826320 15554610 16591584 20739480 22122112 24887376 27652640 31109220 33183168 41478960 49774752 55305280 62218440 66366336 82957920 99549504 110610560 124436880 165915840 199099008 248873760 331831680 497747520 995495040