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31390848 = 273331293
BaseRepresentation
bin111011110111…
…1110010000000
32012001211011000
41313233302000
531014001343
63040452000
7530550336
oct167576200
965054130
1031390848
11167a0455
12a61a000
136671088
144251b56
152b50ed3
hex1defc80

31390848 has 128 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 10091520.

The previous prime is 31390841. The next prime is 31390859. The reversal of 31390848 is 84809313.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31390841) 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, 106990 + ... + 107282.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 231390848 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 31390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

31390848 is an abundant number, since it is smaller than the sum of its proper divisors (64570752).

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

31390848 is a wasteful number, since it uses less digits than its factorization.

31390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 31390848 is about 5602.7536087178. The cubic root of 31390848 is about 315.4527729203.

The spelling of 31390848 in words is "thirty-one million, three hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 293 372 384 432 496 558 576 586 744 837 864 879 992 1116 1152 1172 1488 1674 1728 1758 1984 2232 2344 2637 2976 3348 3456 3516 3968 4464 4688 5274 5952 6696 7032 7911 8928 9083 9376 10548 11904 13392 14064 15822 17856 18166 18752 21096 26784 27249 28128 31644 35712 36332 37504 42192 53568 54498 56256 63288 72664 81747 84384 107136 108996 112512 126576 145328 163494 168768 217992 245241 253152 290656 326988 337536 435984 490482 506304 581312 653976 871968 980964 1012608 1162624 1307952 1743936 1961928 2615904 3487872 3923856 5231808 7847712 10463616 15695424 31390848