Search a number
-
+
4316672000 = 212538431
BaseRepresentation
bin1000000010100101…
…10011000000000000
3102010211120122202202
410001102303000000
532320032001000
61552201132332
7211654051364
oct40122630000
912124518682
104316672000
111915715623
12a0578a0a8
1353a408bb4
142cd4272a4
151a3e78dd5
hex1014b3000

4316672000 has 104 divisors (see below), whose sum is σ = 10774375872. Its totient is φ = 1726464000.

The previous prime is 4316671991. The next prime is 4316672023. The reversal of 4316672000 is 2766134.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507785 + ... + 516215.

It is an arithmetic number, because the mean of its divisors is an integer number (103599768).

Almost surely, 24316672000 is an apocalyptic number.

4316672000 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 4316672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387187936).

4316672000 is an abundant number, since it is smaller than the sum of its proper divisors (6457703872).

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

4316672000 is an frugal number, since it uses more digits than its factorization.

4316672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 4316672000 is about 65701.3850691140. The cubic root of 4316672000 is about 1628.2322411349.

The spelling of 4316672000 in words is "four billion, three hundred sixteen million, six hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8431 10240 12800 16000 16862 20480 25600 32000 33724 42155 51200 64000 67448 84310 102400 128000 134896 168620 210775 256000 269792 337240 421550 512000 539584 674480 843100 1053875 1079168 1348960 1686200 2107750 2158336 2697920 3372400 4215500 4316672 5395840 6744800 8431000 8633344 10791680 13489600 16862000 17266688 21583360 26979200 33724000 34533376 43166720 53958400 67448000 86333440 107916800 134896000 172666880 215833600 269792000 431667200 539584000 863334400 1079168000 2158336000 4316672000