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31428033 = 3713197383
BaseRepresentation
bin111011111100…
…0110111000001
32012010201011020
41313320313001
531021144113
63041340053
7531063630
oct167706701
965121136
1031428033
111681638a
12a637629
136684c90
144261517
152b5c023
hex1df8dc1

31428033 has 64 divisors (see below), whose sum is σ = 55695360. Its totient is φ = 15303168.

The previous prime is 31428031. The next prime is 31428037. The reversal of 31428033 is 33082413.

It is not a de Polignac number, because 31428033 - 21 = 31428031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31427994 and 31428012.

It is not an unprimeable number, because it can be changed into a prime (31428031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378610 + ... + 378692.

It is an arithmetic number, because the mean of its divisors is an integer number (870240).

Almost surely, 231428033 is an apocalyptic number.

31428033 is the 3237-th octagonal number.

It is an amenable number.

31428033 is a deficient number, since it is larger than the sum of its proper divisors (24267327).

31428033 is a wasteful number, since it uses less digits than its factorization.

31428033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 31428033 is about 5606.0710841016. The cubic root of 31428033 is about 315.5772835489.

It can be divided in two parts, 3142 and 8033, that added together give a triangular number (11175 = T149).

The spelling of 31428033 in words is "thirty-one million, four hundred twenty-eight thousand, thirty-three".

Divisors: 1 3 7 13 19 21 39 57 73 83 91 133 219 247 249 273 399 511 581 741 949 1079 1387 1533 1577 1729 1743 2847 3237 4161 4731 5187 6059 6643 7553 9709 11039 18031 18177 19929 20501 22659 29127 33117 42413 54093 61503 78767 115121 126217 127239 143507 236301 345363 378651 430521 551369 805847 1496573 1654107 2417541 4489719 10476011 31428033