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1226078952 = 233743891907
BaseRepresentation
bin100100100010100…
…0111101011101000
310011110002021010120
41021011013223220
510002334011302
6321355043240
742245333130
oct11105075350
93143067116
101226078952
1157a0a929a
122a2740520
13167025807
14b8b9bac0
157298c9bc
hex49147ae8

1226078952 has 128 divisors (see below), whose sum is σ = 3626726400. Its totient is φ = 338139648.

The previous prime is 1226078951. The next prime is 1226078993. The reversal of 1226078952 is 2598706221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1226078951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641983 + ... + 643889.

It is an arithmetic number, because the mean of its divisors is an integer number (28333800).

Almost surely, 21226078952 is an apocalyptic number.

1226078952 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 1226078952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813363200).

1226078952 is an abundant number, since it is smaller than the sum of its proper divisors (2400647448).

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

1226078952 is a wasteful number, since it uses less digits than its factorization.

1226078952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1226078952 is about 35015.4102075072. The cubic root of 1226078952 is about 1070.3015285530.

The spelling of 1226078952 in words is "one billion, two hundred twenty-six million, seventy-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 89 129 168 172 178 258 267 301 344 356 516 534 602 623 712 903 1032 1068 1204 1246 1806 1869 1907 2136 2408 2492 3612 3738 3814 3827 4984 5721 7224 7476 7628 7654 11442 11481 13349 14952 15256 15308 22884 22962 26698 26789 30616 40047 45768 45924 53396 53578 80094 80367 82001 91848 106792 107156 160188 160734 164002 169723 214312 246003 320376 321468 328004 339446 492006 509169 574007 642936 656008 678892 984012 1018338 1148014 1188061 1357784 1722021 1968024 2036676 2296028 2376122 3444042 3564183 4073352 4592056 4752244 6888084 7128366 7298089 9504488 13776168 14256732 14596178 21894267 28513464 29192356 43788534 51086623 58384712 87577068 102173246 153259869 175154136 204346492 306519738 408692984 613039476 1226078952