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4742439840 = 25345365929
BaseRepresentation
bin1000110101010101…
…11110001110100000
3110020111201220110000
410122222332032200
534203031033330
62102330540000
7225344034135
oct43252761640
913214656400
104742439840
112013a90276
12b04297600
135a76a0028
1432dbb858c
151cb52c560
hex11aabe3a0

4742439840 has 120 divisors (see below), whose sum is σ = 16736906340. Its totient is φ = 1264647168.

The previous prime is 4742439839. The next prime is 4742439847. The reversal of 4742439840 is 489342474.

It can be written as a sum of positive squares in 2 ways, for example, as 4565975184 + 176464656 = 67572^2 + 13284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (4742439847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170005 + ... + 195924.

Almost surely, 24742439840 is an apocalyptic number.

4742439840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4742439840 is an abundant number, since it is smaller than the sum of its proper divisors (11994466500).

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

4742439840 is a wasteful number, since it uses less digits than its factorization.

4742439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365956 (or 365939 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4742439840 is about 68865.3747539357. The cubic root of 4742439840 is about 1680.0954027455.

The spelling of 4742439840 in words is "four billion, seven hundred forty-two million, four hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 365929 731858 1097787 1463716 1829645 2195574 2927432 3293361 3659290 4391148 5488935 5854864 6586722 7318580 8782296 9880083 10977870 11709728 13173444 14637160 16466805 17564592 19760166 21955740 26346888 29274320 29640249 32933610 35129184 39520332 43911480 49400415 52693776 58548640 59280498 65867220 79040664 87822960 98800830 105387552 118560996 131734440 148201245 158081328 175645920 197601660 237121992 263468880 296402490 316162656 395203320 474243984 526937760 592804980 790406640 948487968 1185609960 1580813280 2371219920 4742439840