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4903040160 = 25355126107
BaseRepresentation
bin1001001000011111…
…00111010010100000
3110122200221020200000
410210033213102200
540020134241120
62130305100000
7232334103504
oct44417472240
913580836600
104903040160
112096702707
12b4a027600
13601a40ac5
14347262304
151da6a2990
hex1243e74a0

4903040160 has 144 divisors (see below), whose sum is σ = 17351451936. Its totient is φ = 1307467008.

The previous prime is 4903040143. The next prime is 4903040161. The reversal of 4903040160 is 610403094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4903040161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24174 + ... + 101933.

It is an arithmetic number, because the mean of its divisors is an integer number (120496194).

Almost surely, 24903040160 is an apocalyptic number.

4903040160 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 4903040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675725968).

4903040160 is an abundant number, since it is smaller than the sum of its proper divisors (12448411776).

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

4903040160 is a wasteful number, since it uses less digits than its factorization.

4903040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126137 (or 126117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4903040160 is about 70021.7120613314. The cubic root of 4903040160 is about 1698.8504523731.

The spelling of 4903040160 in words is "four billion, nine hundred three million, forty thousand, one hundred sixty".

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 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 126107 252214 378321 504428 630535 756642 1008856 1134963 1261070 1513284 1891605 2017712 2269926 2522140 3026568 3404889 3783210 4035424 4539852 5044280 5674815 6053136 6809778 7566420 9079704 10088560 10214667 11349630 12106272 13619556 15132840 17024445 18159408 20177120 20429334 22699260 27239112 30265680 30644001 34048890 36318816 40858668 45398520 51073335 54478224 60531360 61288002 68097780 81717336 90797040 102146670 108956448 122576004 136195560 153220005 163434672 181594080 204293340 245152008 272391120 306440010 326869344 408586680 490304016 544782240 612880020 817173360 980608032 1225760040 1634346720 2451520080 4903040160