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31029536 = 252921153
BaseRepresentation
bin111011001011…
…1100100100000
32011101110112002
41312113210200
530420421121
63025023132
7524514056
oct166274440
964343462
1031029536
1116573a4a
12a484aa8
136575795
14419a1d6
152acde0b
hex1d97920

31029536 has 36 divisors (see below), whose sum is σ = 63323442. Its totient is φ = 14966784.

The previous prime is 31029521. The next prime is 31029587. The reversal of 31029536 is 63592013.

It can be written as a sum of positive squares in 3 ways, for example, as 29637136 + 1392400 = 5444^2 + 1180^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 31029499 and 31029508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26336 + ... + 27488.

Almost surely, 231029536 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 31029536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31661721).

31029536 is an abundant number, since it is smaller than the sum of its proper divisors (32293906).

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

31029536 is a wasteful number, since it uses less digits than its factorization.

31029536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 31029536 is about 5570.4161424439. The cubic root of 31029536 is about 314.2378011178.

The spelling of 31029536 in words is "thirty-one million, twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1153 1682 2306 3364 4612 6728 9224 13456 18448 26912 33437 36896 66874 133748 267496 534992 969673 1069984 1939346 3878692 7757384 15514768 31029536