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1056473152 = 2676167577
BaseRepresentation
bin111110111110001…
…000000001000000
32201121221101201021
4332332020001000
54130424120102
6252455515224
735115605440
oct7676100100
92647841637
101056473152
114a2395a09
12255988b14
1313ab50a57
14a044c120
1562b39137
hex3ef88040

1056473152 has 112 divisors (see below), whose sum is σ = 2475837568. Its totient is φ = 437944320.

The previous prime is 1056473141. The next prime is 1056473153. The reversal of 1056473152 is 2513746501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10564731522 = 2232271041793630208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056473153) 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, 1830688 + ... + 1831264.

Almost surely, 21056473152 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 1056473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237918784).

1056473152 is an abundant number, since it is smaller than the sum of its proper divisors (1419364416).

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

1056473152 is an equidigital number, since it uses as much as digits as its factorization.

1056473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 1056473152 is about 32503.4329263849. The cubic root of 1056473152 is about 1018.4807422098.

The spelling of 1056473152 in words is "one billion, fifty-six million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 67 112 122 134 224 244 268 427 448 469 488 536 577 854 938 976 1072 1154 1708 1876 1952 2144 2308 3416 3752 3904 4039 4087 4288 4616 6832 7504 8078 8174 9232 13664 15008 16156 16348 18464 27328 28609 30016 32312 32696 35197 36928 38659 57218 64624 65392 70394 77318 114436 129248 130784 140788 154636 228872 246379 258496 261568 270613 281576 309272 457744 492758 541226 563152 618544 915488 985516 1082452 1126304 1237088 1830976 1971032 2164904 2252608 2358199 2474176 3942064 4329808 4716398 7884128 8659616 9432796 15768256 16507393 17319232 18865592 33014786 37731184 66029572 75462368 132059144 150924736 264118288 528236576 1056473152