Search a number
-
+
31400928 = 2532138387
BaseRepresentation
bin111011111001…
…0001111100000
32012002022222100
41313302033200
531014312203
63041010400
7530621616
oct167621740
965068870
1031400928
11167a7a89
12a623a00
136675840
1442556b6
152b53ea3
hex1df23e0

31400928 has 72 divisors (see below), whose sum is σ = 96176808. Its totient is φ = 9660672.

The previous prime is 31400893. The next prime is 31400933. The reversal of 31400928 is 82900413.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×314009282 = 1972036558522368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 7937.

It is an arithmetic number, because the mean of its divisors is an integer number (1335789).

Almost surely, 231400928 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 31400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48088404).

31400928 is an abundant number, since it is smaller than the sum of its proper divisors (64775880).

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

31400928 is a wasteful number, since it uses less digits than its factorization.

31400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31400928 is about 5603.6530941878. The cubic root of 31400928 is about 315.4865346041.

The spelling of 31400928 in words is "thirty-one million, four hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8387 16774 25161 33548 50322 67096 75483 100644 109031 134192 150966 201288 218062 268384 301932 327093 402576 436124 603864 654186 805152 872248 981279 1207728 1308372 1744496 1962558 2415456 2616744 3488992 3925116 5233488 7850232 10466976 15700464 31400928