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1485952 = 27131947
BaseRepresentation
bin101101010110010000000
32210111100021
411222302000
5340022302
651503224
715426136
oct5526200
92714307
101485952
11925466
125b7b14
13400480
142a9756
151e5437
hex16ac80

1485952 has 64 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 635904.

The previous prime is 1485947. The next prime is 1486003. The reversal of 1485952 is 2595841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31593 + ... + 31639.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

21485952 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 1485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1485952 is an abundant number, since it is smaller than the sum of its proper divisors (1941248).

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

1485952 is a wasteful number, since it uses less digits than its factorization.

1485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 1485952 is about 1218.9963084440. The cubic root of 1485952 is about 114.1129484852.

The spelling of 1485952 in words is "one million, four hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 64 76 94 104 128 152 188 208 247 304 376 416 494 608 611 752 832 893 988 1216 1222 1504 1664 1786 1976 2432 2444 3008 3572 3952 4888 6016 7144 7904 9776 11609 14288 15808 19552 23218 28576 31616 39104 46436 57152 78208 92872 114304 185744 371488 742976 1485952