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31449066 = 23111931809
BaseRepresentation
bin111011111110…
…1111111101010
32012011210000020
41313331333222
531022332231
63042021310
7531212145
oct167757752
965153006
1031449066
1116830170
12a647836
13669171c
14426905c
152b63396
hex1dfdfea

31449066 has 64 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 8726400.

The previous prime is 31449053. The next prime is 31449071. The reversal of 31449066 is 66094413.

31449066 = 3412 + 3422 + ... + 5112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38470 + ... + 39278.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 231449066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31449066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

31449066 is an abundant number, since it is smaller than the sum of its proper divisors (43200534).

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

31449066 is a wasteful number, since it uses less digits than its factorization.

31449066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 31449066 is about 5607.9466830561. The cubic root of 31449066 is about 315.6476671758.

The spelling of 31449066 in words is "thirty-one million, four hundred forty-nine thousand, sixty-six".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 809 1023 1178 1254 1618 1767 2046 2427 3534 4854 6479 8899 12958 15371 17798 19437 25079 26697 30742 38874 46113 50158 53394 75237 92226 150474 169081 275869 338162 476501 507243 551738 827607 953002 1014486 1429503 1655214 2859006 5241511 10483022 15724533 31449066