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4024155040 = 25547717537
BaseRepresentation
bin1110111111011011…
…1011101110100000
3101101110011020221021
43233312323232200
531220140430130
61503151335224
7201502516303
oct35766735640
911343136837
104024155040
111785592274
12943821514
134c192b139
142a2640b3a
1518844737a
hexefdbbba0

4024155040 has 96 divisors (see below), whose sum is σ = 9847401984. Its totient is φ = 1553018880.

The previous prime is 4024155029. The next prime is 4024155041. The reversal of 4024155040 is 405514204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4024154996 and 4024155014.

It is not an unprimeable number, because it can be changed into a prime (4024155041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530152 + ... + 537688.

It is an arithmetic number, because the mean of its divisors is an integer number (102577104).

Almost surely, 24024155040 is an apocalyptic number.

4024155040 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 4024155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923700992).

4024155040 is an abundant number, since it is smaller than the sum of its proper divisors (5823246944).

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

4024155040 is a wasteful number, since it uses less digits than its factorization.

4024155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4024155040 is about 63436.2281350334. The cubic root of 4024155040 is about 1590.5899528794.

Adding to 4024155040 its reverse (405514204), we get a palindrome (4429669244).

The spelling of 4024155040 in words is "four billion, twenty-four million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 71 80 94 142 160 188 235 284 355 376 470 568 710 752 940 1136 1420 1504 1880 2272 2840 3337 3760 5680 6674 7520 7537 11360 13348 15074 16685 26696 30148 33370 37685 53392 60296 66740 75370 106784 120592 133480 150740 241184 266960 301480 354239 533920 535127 602960 708478 1070254 1205920 1416956 1771195 2140508 2675635 2833912 3542390 4281016 5351270 5667824 7084780 8562032 10702540 11335648 14169560 17124064 21405080 25150969 28339120 42810160 50301938 56678240 85620320 100603876 125754845 201207752 251509690 402415504 503019380 804831008 1006038760 2012077520 4024155040