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31427328 = 283151271
BaseRepresentation
bin111011111100…
…0101100000000
32012010200012010
41313320230000
531021133303
63041332520
7531061602
oct167705400
965120163
1031427328
11168158a9
12a637140
13668486a
144261172
152b5bc03
hex1df8b00

31427328 has 72 divisors (see below), whose sum is σ = 84507136. Its totient is φ = 10368000.

The previous prime is 31427327. The next prime is 31427351. The reversal of 31427328 is 82372413.

It is a junction number, because it is equal to n+sod(n) for n = 31427295 and 31427304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115833 + ... + 116103.

Almost surely, 231427328 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 31427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42253568).

31427328 is an abundant number, since it is smaller than the sum of its proper divisors (53079808).

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

31427328 is a wasteful number, since it uses less digits than its factorization.

31427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 31427328 is about 5606.0082054881. The cubic root of 31427328 is about 315.5749238334.

The spelling of 31427328 in words is "thirty-one million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 271 302 384 453 542 604 768 813 906 1084 1208 1626 1812 2168 2416 3252 3624 4336 4832 6504 7248 8672 9664 13008 14496 17344 19328 26016 28992 34688 38656 40921 52032 57984 69376 81842 104064 115968 122763 163684 208128 245526 327368 491052 654736 982104 1309472 1964208 2618944 3928416 5237888 7856832 10475776 15713664 31427328