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1353372748 = 227213717481
BaseRepresentation
bin101000010101010…
…1101010001001100
310111022121110101121
41100222231101030
510232430411443
6342143250324
745352323100
oct12052552114
93438543347
101353372748
11634a41a82
123192a99a4
131875045a0
14cba55900
157dc344ed
hex50aad44c

1353372748 has 72 divisors (see below), whose sum is σ = 3009200544. Its totient is φ = 527788800.

The previous prime is 1353372743. The next prime is 1353372749. The reversal of 1353372748 is 8472733531.

It is not an unprimeable number, because it can be changed into a prime (1353372743) 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 23 ways as a sum of consecutive naturals, for example, 177168 + ... + 184648.

It is an arithmetic number, because the mean of its divisors is an integer number (41794452).

Almost surely, 21353372748 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 1353372748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504600272).

1353372748 is an abundant number, since it is smaller than the sum of its proper divisors (1655827796).

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

1353372748 is a wasteful number, since it uses less digits than its factorization.

1353372748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7574 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 1353372748 is about 36788.2147976767. The cubic root of 1353372748 is about 1106.1290774952.

The spelling of 1353372748 in words is "one billion, three hundred fifty-three million, three hundred seventy-two thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 71 91 98 142 182 196 284 364 497 637 923 994 1274 1846 1988 2548 3479 3692 6461 6958 7481 12922 13916 14962 25844 29924 45227 52367 90454 97253 104734 180908 194506 209468 366569 389012 531151 680771 733138 1062302 1361542 1466276 2124604 2723084 3718057 4765397 6904963 7436114 9530794 13809926 14872228 19061588 26026399 27619852 48334741 52052798 96669482 104105596 193338964 338343187 676686374 1353372748