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31052000 = 255371109
BaseRepresentation
bin111011001110…
…1000011100000
32011102121100002
41312131003200
530422131000
63025315132
7524636420
oct166350340
964377302
1031052000
1116589911
12a495aa8
136582a85
1441a4480
152ad58d5
hex1d9d0e0

31052000 has 96 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 10636800.

The previous prime is 31051973. The next prime is 31052017. The reversal of 31052000 is 25013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27446 + ... + 28554.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 231052000 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 31052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320).

31052000 is an abundant number, since it is smaller than the sum of its proper divisors (56220640).

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

31052000 is a wasteful number, since it uses less digits than its factorization.

31052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 31052000 is about 5572.4321440463. The cubic root of 31052000 is about 314.3136142095.

Adding to 31052000 its reverse (25013), we get a palindrome (31077013).

The spelling of 31052000 in words is "thirty-one million, fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1109 1120 1400 1750 2000 2218 2800 3500 4000 4436 5545 5600 7000 7763 8872 11090 14000 15526 17744 22180 27725 28000 31052 35488 38815 44360 55450 62104 77630 88720 110900 124208 138625 155260 177440 194075 221800 248416 277250 310520 388150 443600 554500 621040 776300 887200 970375 1109000 1242080 1552600 1940750 2218000 3105200 3881500 4436000 6210400 7763000 15526000 31052000