Search a number
-
+
4315005200 = 245211289153
BaseRepresentation
bin1000000010011000…
…11100000100010000
3102010201102222100102
410001030130010100
532314120131300
61552101311532
7211633640042
oct40114340420
912121388312
104315005200
111914787300
12a051055a8
13539c7431c
142cd111a92
151a3c4a0d5
hex10131c110

4315005200 has 90 divisors (see below), whose sum is σ = 11395040202. Its totient is φ = 1569075200.

The previous prime is 4315005197. The next prime is 4315005209. The reversal of 4315005200 is 25005134.

It can be written as a sum of positive squares in 3 ways, for example, as 51437584 + 4263567616 = 7172^2 + 65296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4315005209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3824 + ... + 92976.

Almost surely, 24315005200 is an apocalyptic number.

4315005200 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 4315005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697520101).

4315005200 is an abundant number, since it is smaller than the sum of its proper divisors (7080035002).

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

4315005200 is a wasteful number, since it uses less digits than its factorization.

4315005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89193 (or 89171 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4315005200 is about 65688.6991803004. The cubic root of 4315005200 is about 1628.0226439509.

The spelling of 4315005200 in words is "four billion, three hundred fifteen million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 89153 178306 356612 445765 713224 891530 980683 1426448 1783060 1961366 2228825 3566120 3922732 4457650 4903415 7132240 7845464 8915300 9806830 10787513 15690928 17830600 19613660 21575026 24517075 35661200 39227320 43150052 49034150 53937565 78454640 86300104 98068300 107875130 172600208 196136600 215750260 269687825 392273200 431500520 539375650 863001040 1078751300 2157502600 4315005200