Search a number
-
+
31449040 = 245789631
BaseRepresentation
bin111011111110…
…1111111010000
32012011202222021
41313331333100
531022332130
63042021224
7531212110
oct167757720
965152867
1031449040
1116830147
12a647814
1366916cc
144269040
152b6337a
hex1dfdfd0

31449040 has 80 divisors (see below), whose sum is σ = 84637440. Its totient is φ = 10644480.

The previous prime is 31449037. The next prime is 31449043. The reversal of 31449040 is 4094413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31449037) and next prime (31449043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31448996 and 31449014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31449043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49525 + ... + 50155.

It is an arithmetic number, because the mean of its divisors is an integer number (1057968).

Almost surely, 231449040 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 31449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318720).

31449040 is an abundant number, since it is smaller than the sum of its proper divisors (53188400).

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

31449040 is a wasteful number, since it uses less digits than its factorization.

31449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 31449040 is about 5607.9443649166. The cubic root of 31449040 is about 315.6475801903.

The spelling of 31449040 in words is "thirty-one million, four hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 631 712 890 1246 1262 1424 1780 2492 2524 3115 3155 3560 4417 4984 5048 6230 6310 7120 8834 9968 10096 12460 12620 17668 22085 24920 25240 35336 44170 49840 50480 56159 70672 88340 112318 176680 224636 280795 353360 393113 449272 561590 786226 898544 1123180 1572452 1965565 2246360 3144904 3931130 4492720 6289808 7862260 15724520 31449040