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1355046952 = 237315711367
BaseRepresentation
bin101000011000100…
…0110000000101000
310111102202111222011
41100301012000220
510233343000302
6342243205304
745402465130
oct12061060050
93442674864
101355046952
11635985916
12319976834
1318796c63c
14cbd6dac0
157de655d7
hex50c46028

1355046952 has 64 divisors (see below), whose sum is σ = 3004784640. Its totient is φ = 560606400.

The previous prime is 1355046949. The next prime is 1355047009. The reversal of 1355046952 is 2596405531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990573 + ... + 991939.

It is an arithmetic number, because the mean of its divisors is an integer number (46949760).

Almost surely, 21355046952 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 1355046952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502392320).

1355046952 is an abundant number, since it is smaller than the sum of its proper divisors (1649737688).

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

1355046952 is a wasteful number, since it uses less digits than its factorization.

1355046952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 1355046952 is about 36810.9623889406. The cubic root of 1355046952 is about 1106.5850057484.

The spelling of 1355046952 in words is "one billion, three hundred fifty-five million, forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 571 868 1142 1367 1736 2284 2734 3997 4568 5468 7994 9569 10936 15988 17701 19138 31976 35402 38276 42377 70804 76552 84754 123907 141608 169508 247814 296639 339016 495628 593278 780557 991256 1186556 1561114 2373112 3122228 5463899 6244456 10927798 21855596 24197267 43711192 48394534 96789068 169380869 193578136 338761738 677523476 1355046952