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1358749056 = 27374991013
BaseRepresentation
bin101000011111100…
…1101110110000000
310111200201121022010
41100333031312000
510240314432211
6342454412520
745446114340
oct12077156600
93450647263
101358749056
11637a84305
1231b061140
13188667732
14cc654d20
157e4474a6
hex50fcdd80

1358749056 has 128 divisors (see below), whose sum is σ = 4137120000. Its totient is φ = 387053568.

The previous prime is 1358749043. The next prime is 1358749057. The reversal of 1358749056 is 6509478531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13587490562 = 3692397994361782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1358748996 and 1358749014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358749057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340806 + ... + 1341818.

It is an arithmetic number, because the mean of its divisors is an integer number (32321250).

Almost surely, 21358749056 is an apocalyptic number.

1358749056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068560000).

1358749056 is an abundant number, since it is smaller than the sum of its proper divisors (2778370944).

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

1358749056 is a wasteful number, since it uses less digits than its factorization.

1358749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 1358749056 is about 36861.2134363480. The cubic root of 1358749056 is about 1107.5918509563.

The spelling of 1358749056 in words is "one billion, three hundred fifty-eight million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 499 672 896 998 1013 1344 1497 1996 2026 2688 2994 3039 3493 3992 4052 5988 6078 6986 7091 7984 8104 10479 11976 12156 13972 14182 15968 16208 20958 21273 23952 24312 27944 28364 31936 32416 41916 42546 47904 48624 55888 56728 63872 64832 83832 85092 95808 97248 111776 113456 129664 167664 170184 191616 194496 223552 226912 335328 340368 388992 447104 453824 505487 670656 680736 907648 1010974 1341312 1361472 1516461 2021948 2722944 3032922 3538409 4043896 6065844 7076818 8087792 10615227 12131688 14153636 16175584 21230454 24263376 28307272 32351168 42460908 48526752 56614544 64702336 84921816 97053504 113229088 169843632 194107008 226458176 339687264 452916352 679374528 1358749056