Search a number
-
+
31443948 = 223217191269
BaseRepresentation
bin111011111110…
…0101111101100
32012011111222200
41313330233230
531022201243
63041541500
7531161214
oct167745754
965144880
1031443948
1116827338
12a644890
13668c2b3
144267244
152b61ad3
hex1dfcbec

31443948 has 72 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 9776640.

The previous prime is 31443941. The next prime is 31443949. The reversal of 31443948 is 84934413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31443941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116758 + ... + 117026.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 231443948 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 31443948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

31443948 is an abundant number, since it is smaller than the sum of its proper divisors (53469972).

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

31443948 is a wasteful number, since it uses less digits than its factorization.

31443948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 482 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 31443948 is about 5607.4903477402. The cubic root of 31443948 is about 315.6305434833.

It can be divided in two parts, 3144394 and 8, that multiplied together give a palindrome (25155152).

The spelling of 31443948 in words is "thirty-one million, four hundred forty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 269 306 382 538 573 612 764 807 1076 1146 1614 1719 2292 2421 3228 3247 3438 4573 4842 6494 6876 9146 9684 9741 12988 13719 18292 19482 27438 29223 38964 41157 51379 54876 58446 82314 102758 116892 154137 164628 205516 308274 462411 616548 873443 924822 1746886 1849644 2620329 3493772 5240658 7860987 10481316 15721974 31443948