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1054136352 = 25373349431
BaseRepresentation
bin111110110101001…
…101100000100000
32201110112200020010
4332311031200200
54124324330402
6252333444520
735060003553
oct7665154040
92643480203
101054136352
114a103a275
12255040740
1313a513229
14a000069a
1562826a6c
hex3ed4d820

1054136352 has 96 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 344770560.

The previous prime is 1054136333. The next prime is 1054136353. The reversal of 1054136352 is 2536314501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10541363522 = 2222406897215735808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054136353) 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, 2445577 + ... + 2446007.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 21054136352 is an apocalyptic number.

1054136352 is a gapful number since it is divisible by the number (12) 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 1054136352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

1054136352 is an abundant number, since it is smaller than the sum of its proper divisors (1765441248).

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

1054136352 is a wasteful number, since it uses less digits than its factorization.

1054136352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1054136352 is about 32467.4660544983. The cubic root of 1054136352 is about 1017.7292661920.

The spelling of 1054136352 in words is "one billion, fifty-four million, one hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 349 431 438 584 698 862 876 1047 1168 1293 1396 1724 1752 2094 2336 2586 2792 3448 3504 4188 5172 5584 6896 7008 8376 10344 11168 13792 16752 20688 25477 31463 33504 41376 50954 62926 76431 94389 101908 125852 150419 152862 188778 203816 251704 300838 305724 377556 407632 451257 503408 601676 611448 755112 815264 902514 1006816 1203352 1222896 1510224 1805028 2406704 2445792 3020448 3610056 4813408 7220112 10980587 14440224 21961174 32941761 43922348 65883522 87844696 131767044 175689392 263534088 351378784 527068176 1054136352