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1485957952 = 26591932039
BaseRepresentation
bin101100010010001…
…1110101101000000
310211120002111002201
41120210132231000
511020401123302
6403241122544
751552301633
oct13044365500
93746074081
101485957952
116a286a226
12355789454
131a8b1697b
141014c9c1a
158a6c3c87
hex5891eb40

1485957952 has 56 divisors (see below), whose sum is σ = 3015691200. Its totient is φ = 726245376.

The previous prime is 1485957929. The next prime is 1485957953. The reversal of 1485957952 is 2597595841.

It is a super-2 number, since 2×14859579522 = 4416142070224068608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1485957893 and 1485957902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485957953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727749 + ... + 729787.

Almost surely, 21485957952 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 1485957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507845600).

1485957952 is an abundant number, since it is smaller than the sum of its proper divisors (1529733248).

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

1485957952 is a wasteful number, since it uses less digits than its factorization.

1485957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2293 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 55.

The square root of 1485957952 is about 38548.1251424761. The cubic root of 1485957952 is about 1141.1310084532.

The spelling of 1485957952 in words is "one billion, four hundred eighty-five million, nine hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 64 118 193 236 386 472 772 944 1544 1888 2039 3088 3776 4078 6176 8156 11387 12352 16312 22774 32624 45548 65248 91096 120301 130496 182192 240602 364384 393527 481204 728768 787054 962408 1574108 1924816 3148216 3849632 6296432 7699264 12592864 23218093 25185728 46436186 92872372 185744744 371489488 742978976 1485957952