Search a number
-
+
1072444950 = 2325210722273
BaseRepresentation
bin111111111011000…
…011011000010110
32202201222211220100
4333323003120112
54144021214300
6254230114530
735401426443
oct7773033026
92681884810
101072444950
11500404845
1225b1aba46
13141253815
14a26089ca
1564241700
hex3fec3616

1072444950 has 72 divisors (see below), whose sum is σ = 2908360728. Its totient is φ = 283299840.

The previous prime is 1072444937. The next prime is 1072444973. The reversal of 1072444950 is 594442701.

It is a happy number.

1072444950 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37014 + ... + 59286.

It is an arithmetic number, because the mean of its divisors is an integer number (40393899).

Almost surely, 21072444950 is an apocalyptic number.

1072444950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072444950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454180364).

1072444950 is an abundant number, since it is smaller than the sum of its proper divisors (1835915778).

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

1072444950 is a wasteful number, since it uses less digits than its factorization.

1072444950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22398 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1072444950 is about 32748.2052943364. The cubic root of 1072444950 is about 1023.5875687677.

The spelling of 1072444950 in words is "one billion, seventy-two million, four hundred forty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 321 450 535 642 963 1070 1605 1926 2675 3210 4815 5350 8025 9630 16050 22273 24075 44546 48150 66819 111365 133638 200457 222730 334095 400914 556825 668190 1002285 1113650 1670475 2004570 2383211 3340950 4766422 5011425 7149633 10022850 11916055 14299266 21448899 23832110 35748165 42897798 59580275 71496330 107244495 119160550 178740825 214488990 357481650 536222475 1072444950