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1355931424 = 251729611409
BaseRepresentation
bin101000011010001…
…1101111100100000
310111111102110020101
41100310131330200
510234104301144
6342314152144
745413140561
oct12064357440
93444373211
101355931424
1163642a391
1231a122654
13187bbc0b3
14cc120168
157e08c6d4
hex50d1df20

1355931424 has 96 divisors (see below), whose sum is σ = 2974028400. Its totient is φ = 605552640.

The previous prime is 1355931389. The next prime is 1355931433. The reversal of 1355931424 is 4241395531.

It can be written as a sum of positive squares in 8 ways, for example, as 123921424 + 1232010000 = 11132^2 + 35100^2 .

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, 961632 + ... + 963040.

Almost surely, 21355931424 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 1355931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487014200).

1355931424 is an abundant number, since it is smaller than the sum of its proper divisors (1618096976).

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

1355931424 is a wasteful number, since it uses less digits than its factorization.

1355931424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 1355931424 is about 36822.9741330056. The cubic root of 1355931424 is about 1106.8257183375.

The spelling of 1355931424 in words is "one billion, three hundred fifty-five million, nine hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 61 68 116 122 136 232 244 272 464 488 493 544 928 976 986 1037 1409 1769 1952 1972 2074 2818 3538 3944 4148 5636 7076 7888 8296 11272 14152 15776 16592 22544 23953 28304 30073 33184 40861 45088 47906 56608 60146 81722 85949 95812 120292 163444 171898 191624 240584 326888 343796 383248 481168 653776 687592 694637 766496 962336 1307552 1375184 1389274 1461133 2492521 2750368 2778548 2922266 4985042 5557096 5844532 9970084 11114192 11689064 19940168 22228384 23378128 39880336 42372857 46756256 79760672 84745714 169491428 338982856 677965712 1355931424