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4745317040 = 2454110631361
BaseRepresentation
bin1000110101101011…
…11100101010110000
3110020201011002012222
410122311330222300
534204300121130
62102512340212
7225410346362
oct43265745260
913221132188
104745317040
112015675a22
12b05244668
135a8169809
14330326d32
151cb8e9ce5
hex11ad7cab0

4745317040 has 80 divisors (see below), whose sum is σ = 11320900416. Its totient is φ = 1848729600.

The previous prime is 4745316949. The next prime is 4745317043. The reversal of 4745317040 is 407135474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×47453170402 = 45036067620228723200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4745317043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3485960 + ... + 3487320.

Almost surely, 24745317040 is an apocalyptic number.

4745317040 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 4745317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660450208).

4745317040 is an abundant number, since it is smaller than the sum of its proper divisors (6575583376).

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

4745317040 is a wasteful number, since it uses less digits than its factorization.

4745317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 4745317040 is about 68886.2616201518. The cubic root of 4745317040 is about 1680.4351008340.

The spelling of 4745317040 in words is "four billion, seven hundred forty-five million, three hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1063 1361 1640 2126 2722 3280 4252 5315 5444 6805 8504 10630 10888 13610 17008 21260 21776 27220 42520 43583 54440 55801 85040 87166 108880 111602 174332 217915 223204 279005 348664 435830 446408 558010 697328 871660 892816 1116020 1446743 1743320 2232040 2893486 3486640 4464080 5786972 7233715 11573944 14467430 23147888 28934860 57869720 59316463 115739440 118632926 237265852 296582315 474531704 593164630 949063408 1186329260 2372658520 4745317040