Search a number
-
+
44074680 = 233513191487
BaseRepresentation
bin1010100000100…
…0011010111000
310001221020002120
42220020122320
542240342210
64212401240
71043425416
oct250103270
9101836076
1044074680
1122973a61
1212916220
1391923c0
145bd42b6
153d09270
hex2a086b8

44074680 has 128 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 10271232.

The previous prime is 44074663. The next prime is 44074697. The reversal of 44074680 is 8647044.

It is an interprime number because it is at equal distance from previous prime (44074663) and next prime (44074697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28897 + ... + 30383.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 244074680 is an apocalyptic number.

44074680 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 44074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

44074680 is an abundant number, since it is smaller than the sum of its proper divisors (105915720).

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

44074680 is a wasteful number, since it uses less digits than its factorization.

44074680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 44074680 is about 6638.8764109599. The cubic root of 44074680 is about 353.2344527706.

The spelling of 44074680 in words is "forty-four million, seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1487 1560 1976 2280 2470 2964 2974 3705 4461 4940 5928 5948 7410 7435 8922 9880 11896 14820 14870 17844 19331 22305 28253 29640 29740 35688 38662 44610 56506 57993 59480 77324 84759 89220 96655 113012 115986 141265 154648 169518 178440 193310 226024 231972 282530 289965 339036 367289 386620 423795 463944 565060 579930 678072 734578 773240 847590 1101867 1130120 1159860 1469156 1695180 1836445 2203734 2319720 2938312 3390360 3672890 4407468 5509335 7345780 8814936 11018670 14691560 22037340 44074680