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31477842 = 23311197269
BaseRepresentation
bin111100000010…
…1000001010010
32012020020111000
41320011001102
531024242332
63042402430
7531362064
oct170050122
965206430
1031477842
111684a850
12a660416
1366a1856
144275734
152b6bb7c
hex1e05052

31477842 has 64 divisors (see below), whose sum is σ = 76982400. Its totient is φ = 9455040.

The previous prime is 31477841. The next prime is 31477871. The reversal of 31477842 is 24877413.

31477842 = T343 + T344 + ... + T611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31477797 and 31477806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31477841) 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, 116884 + ... + 117152.

It is an arithmetic number, because the mean of its divisors is an integer number (1202850).

Almost surely, 231477842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31477842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38491200).

31477842 is an abundant number, since it is smaller than the sum of its proper divisors (45504558).

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

31477842 is a wasteful number, since it uses less digits than its factorization.

31477842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 31477842 is about 5610.5117413655. The cubic root of 31477842 is about 315.7439107158.

The spelling of 31477842 in words is "thirty-one million, four hundred seventy-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 197 198 269 297 394 538 591 594 807 1182 1614 1773 2167 2421 2959 3546 4334 4842 5319 5918 6501 7263 8877 10638 13002 14526 17754 19503 26631 39006 52993 53262 58509 79893 105986 117018 158979 159786 317958 476937 582923 953874 1165846 1430811 1748769 2861622 3497538 5246307 10492614 15738921 31477842