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1052903904 = 253131038191
BaseRepresentation
bin111110110000100…
…000100111100000
32201101020001121220
4332300200213200
54124020411104
6252251215040
735043351453
oct7660404740
92641201556
101052903904
114a0378318
12254747480
1313a1a1280
149db9d49a
15626817d9
hex3ec209e0

1052903904 has 96 divisors (see below), whose sum is σ = 3005743104. Its totient is φ = 320785920.

The previous prime is 1052903827. The next prime is 1052903941. The reversal of 1052903904 is 4093092501.

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

It is a super-2 number, since 2×10529039042 = 2217213262116882432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 124449 + ... + 132639.

It is an arithmetic number, because the mean of its divisors is an integer number (31309824).

Almost surely, 21052903904 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 1052903904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502871552).

1052903904 is an abundant number, since it is smaller than the sum of its proper divisors (1952839200).

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

1052903904 is a wasteful number, since it uses less digits than its factorization.

1052903904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1052903904 is about 32448.4807656691. The cubic root of 1052903904 is about 1017.3324840183.

The spelling of 1052903904 in words is "one billion, fifty-two million, nine hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 8191 9888 10712 16068 16382 21424 24573 32136 32764 42848 49146 64272 65528 98292 106483 128544 131056 196584 212966 262112 319449 393168 425932 638898 786336 843673 851864 1277796 1687346 1703728 2531019 2555592 3374692 3407456 5062038 5111184 6749384 10124076 10222368 10967749 13498768 20248152 21935498 26997536 32903247 40496304 43870996 65806494 80992608 87741992 131612988 175483984 263225976 350967968 526451952 1052903904