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1052333856 = 2535719333
BaseRepresentation
bin111110101110010…
…101011100100000
32201100011002200000
4332232111130200
54123344140411
6252231100000
735035455510
oct7656253440
92640132600
101052333856
114a0019002
12254511600
1313a031972
149da91840
15625bc956
hex3eb95720

1052333856 has 144 divisors (see below), whose sum is σ = 3546938304. Its totient is φ = 300651264.

The previous prime is 1052333837. The next prime is 1052333861. The reversal of 1052333856 is 6583332501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10523338562 = 2214813088967657472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1052333856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44766 + ... + 64098.

It is an arithmetic number, because the mean of its divisors is an integer number (24631516).

Almost surely, 21052333856 is an apocalyptic number.

1052333856 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 1052333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773469152).

1052333856 is an abundant number, since it is smaller than the sum of its proper divisors (2494604448).

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

1052333856 is an equidigital number, since it uses as much as digits as its factorization.

1052333856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19365 (or 19345 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1052333856 is about 32439.6956829129. The cubic root of 1052333856 is about 1017.1488543962.

The spelling of 1052333856 in words is "one billion, fifty-two million, three hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 19333 27216 38666 54432 57999 77332 115998 135331 154664 173997 231996 270662 309328 347994 405993 463992 521991 541324 618656 695988 811986 927984 1043982 1082648 1217979 1391976 1565973 1623972 1855968 2087964 2165296 2435958 2783952 3131946 3247944 3653937 4175928 4330592 4697919 4871916 5567904 6263892 6495888 7307874 8351856 9395838 9743832 10961811 12527784 12991776 14615748 16703712 18791676 19487664 21923622 25055568 29231496 32885433 37583352 38975328 43847244 50111136 58462992 65770866 75166704 87694488 116925984 131541732 150333408 175388976 263083464 350777952 526166928 1052333856