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1056147752 = 231129557743
BaseRepresentation
bin111110111100111…
…000100100101000
32201121022212100102
4332330320210220
54130333212002
6252444524532
735113051652
oct7674704450
92647285312
101056147752
114a2193490
12255850748
1313aa688ca
14a03a56d2
1562ac2a02
hex3ef38928

1056147752 has 64 divisors (see below), whose sum is σ = 2241820800. Its totient is φ = 462058240.

The previous prime is 1056147751. The next prime is 1056147779. The reversal of 1056147752 is 2577416501.

It is a super-2 number, since 2×10561477522 = 2230896148109307008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056147751) 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, 1421093 + ... + 1421835.

It is an arithmetic number, because the mean of its divisors is an integer number (35028450).

Almost surely, 21056147752 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 1056147752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120910400).

1056147752 is an abundant number, since it is smaller than the sum of its proper divisors (1185673048).

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

1056147752 is a wasteful number, since it uses less digits than its factorization.

1056147752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 1056147752 is about 32498.4269157755. The cubic root of 1056147752 is about 1018.3761654349.

The spelling of 1056147752 in words is "one billion, fifty-six million, one hundred forty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 557 638 743 1114 1276 1486 2228 2552 2972 4456 5944 6127 8173 12254 16153 16346 21547 24508 32306 32692 43094 49016 64612 65384 86188 129224 172376 177683 237017 355366 413851 474034 710732 827702 948068 1421464 1655404 1896136 3310808 4552361 9104722 12001679 18209444 24003358 36418888 48006716 96013432 132018469 264036938 528073876 1056147752