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31412472 = 23371319757
BaseRepresentation
bin111011111010…
…1000011111000
32012002220210220
41313311003320
531020144342
63041140040
7531000360
oct167650370
965086726
1031412472
1116805723
12a62a620
13667ab80
1442599a0
152b575ec
hex1df50f8

31412472 has 128 divisors (see below), whose sum is σ = 101875200. Its totient is φ = 7838208.

The previous prime is 31412431. The next prime is 31412473. The reversal of 31412472 is 27421413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41118 + ... + 41874.

It is an arithmetic number, because the mean of its divisors is an integer number (795900).

Almost surely, 231412472 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 31412472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50937600).

31412472 is an abundant number, since it is smaller than the sum of its proper divisors (70462728).

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

31412472 is a wasteful number, since it uses less digits than its factorization.

31412472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 31412472 is about 5604.6830418856. The cubic root of 31412472 is about 315.5251908963.

Adding to 31412472 its reverse (27421413), we get a palindrome (58833885).

The spelling of 31412472 in words is "thirty-one million, four hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 757 798 988 1064 1092 1482 1514 1596 1729 1976 2184 2271 2964 3028 3192 3458 4542 5187 5299 5928 6056 6916 9084 9841 10374 10598 13832 14383 15897 18168 19682 20748 21196 28766 29523 31794 39364 41496 42392 43149 57532 59046 63588 68887 78728 86298 100681 115064 118092 127176 137774 172596 186979 201362 206661 236184 275548 302043 345192 373958 402724 413322 551096 560937 604086 747916 805448 826644 1121874 1208172 1308853 1495832 1653288 2243748 2416344 2617706 3926559 4487496 5235412 7853118 10470824 15706236 31412472