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4903640742 = 23711131515407
BaseRepresentation
bin1001001000100011…
…11001111010100110
3110122202001202111210
410210101321322212
540020313000432
62130330012250
7232342154460
oct44421717246
913582052453
104903640742
112096a82960
12b4a277086
13601bc1290
1434737b130
151da7708cc
hex124479ea6

4903640742 has 128 divisors (see below), whose sum is σ = 13257474048. Its totient is φ = 1167696000.

The previous prime is 4903640741. The next prime is 4903640759. The reversal of 4903640742 is 2470463094.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4903640742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4903640741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904203 + ... + 909609.

It is an arithmetic number, because the mean of its divisors is an integer number (103574016).

Almost surely, 24903640742 is an apocalyptic number.

4903640742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4903640742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628737024).

4903640742 is an abundant number, since it is smaller than the sum of its proper divisors (8353833306).

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

4903640742 is a wasteful number, since it uses less digits than its factorization.

4903640742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4903640742 is about 70026.0004712535. Note that the first 3 decimals coincide. The cubic root of 4903640742 is about 1698.9198145995.

The spelling of 4903640742 in words is "four billion, nine hundred three million, six hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 151 154 182 231 273 286 302 429 453 462 546 858 906 1001 1057 1661 1963 2002 2114 3003 3171 3322 3926 4983 5407 5889 6006 6342 9966 10814 11627 11778 13741 16221 21593 23254 27482 32442 34881 37849 41223 43186 59477 64779 69762 70291 75698 82446 113547 118954 129558 140582 151151 178431 210873 227094 302302 356862 416339 421746 453453 492037 773201 816457 832678 906906 984074 1249017 1476111 1546402 1632914 2319603 2449371 2498034 2952222 4639206 4898742 5412407 5715199 8981027 10613941 10824814 11430398 16237221 17145597 17962054 21227882 26943081 31841823 32474442 34291194 53886162 62867189 63683646 74297587 116753351 125734378 148595174 188601567 222892761 233506702 350260053 377203134 445785522 700520106 817273457 1634546914 2451820371 4903640742