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31481472 = 2731129257
BaseRepresentation
bin111100000010…
…1111010000000
32012020102110110
41320011322000
531024401342
63042431320
7531405501
oct170057200
965212413
1031481472
1116852550
12a662540
1366a33b9
144276ba8
152b6cc9c
hex1e05e80

31481472 has 128 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 9175040.

The previous prime is 31481459. The next prime is 31481473. The reversal of 31481472 is 27418413.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31481473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122368 + ... + 122624.

Almost surely, 231481472 is an apocalyptic number.

31481472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

31481472 is an abundant number, since it is smaller than the sum of its proper divisors (63256128).

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

31481472 is a wasteful number, since it uses less digits than its factorization.

31481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 31481472 is about 5610.8352319419. The cubic root of 31481472 is about 315.7560473625.

Adding to 31481472 its reverse (27418413), we get a palindrome (58899885).

The spelling of 31481472 in words is "thirty-one million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 257 264 319 348 352 384 464 514 528 638 696 704 771 928 957 1028 1056 1276 1392 1408 1542 1856 1914 2056 2112 2552 2784 2827 3084 3712 3828 4112 4224 5104 5568 5654 6168 7453 7656 8224 8481 10208 11136 11308 12336 14906 15312 16448 16962 20416 22359 22616 24672 29812 30624 32896 33924 40832 44718 45232 49344 59624 61248 67848 81983 89436 90464 98688 119248 122496 135696 163966 178872 180928 238496 245949 271392 327932 357744 361856 476992 491898 542784 655864 715488 953984 983796 1085568 1311728 1430976 1967592 2623456 2861952 3935184 5246912 7870368 10493824 15740736 31481472