Search a number
-
+
4125446940 = 2235831137331
BaseRepresentation
bin1111010111100101…
…0101001100011100
3101122111202102022010
43311321111030130
531422103300230
61521210351220
7204142502046
oct36571251434
911574672263
104125446940
11182778638a
1297172b510
13509904984
142b1c8aa96
151922a49b0
hexf5e5531c

4125446940 has 96 divisors (see below), whose sum is σ = 11795486976. Its totient is φ = 1077099520.

The previous prime is 4125446921. The next prime is 4125446947. The reversal of 4125446940 is 496445214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125446947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559075 + ... + 566405.

It is an arithmetic number, because the mean of its divisors is an integer number (122869656).

Almost surely, 24125446940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897743488).

4125446940 is an abundant number, since it is smaller than the sum of its proper divisors (7670040036).

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

4125446940 is a wasteful number, since it uses less digits than its factorization.

4125446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4125446940 is about 64229.6422222637. The cubic root of 4125446940 is about 1603.8250851442.

The spelling of 4125446940 in words is "four billion, one hundred twenty-five million, four hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 113 166 226 249 332 339 415 452 498 565 678 830 996 1130 1245 1356 1660 1695 2260 2490 3390 4980 6780 7331 9379 14662 18758 21993 28137 29324 36655 37516 43986 46895 56274 73310 87972 93790 109965 112548 140685 146620 187580 219930 281370 439860 562740 608473 828403 1216946 1656806 1825419 2433892 2485209 3042365 3313612 3650838 4142015 4970418 6084730 7301676 8284030 9127095 9940836 12169460 12426045 16568060 18254190 24852090 36508380 49704180 68757449 137514898 206272347 275029796 343787245 412544694 687574490 825089388 1031361735 1375148980 2062723470 4125446940