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31084950 = 23521319839
BaseRepresentation
bin111011010010…
…1000110010110
32011111021112110
41312211012112
530424204300
63030131450
7525134451
oct166450626
964437473
1031084950
1116601646
12a4b0b86
136594a80
1441b2498
152ae0550
hex1da5196

31084950 has 96 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 7240320.

The previous prime is 31084943. The next prime is 31084951. The reversal of 31084950 is 5948013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31084951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36631 + ... + 37469.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 231084950 is an apocalyptic number.

31084950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31084950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

31084950 is an abundant number, since it is smaller than the sum of its proper divisors (56409450).

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

31084950 is a wasteful number, since it uses less digits than its factorization.

31084950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 31084950 is about 5575.3878788834. The cubic root of 31084950 is about 314.4247500733.

The spelling of 31084950 in words is "thirty-one million, eighty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 839 950 975 1235 1425 1482 1678 1950 2470 2517 2850 3705 4195 5034 6175 7410 8390 10907 12350 12585 15941 18525 20975 21814 25170 31882 32721 37050 41950 47823 54535 62925 65442 79705 95646 109070 125850 159410 163605 207233 239115 272675 327210 398525 414466 478230 545350 621699 797050 818025 1036165 1195575 1243398 1636050 2072330 2391150 3108495 5180825 6216990 10361650 15542475 31084950