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96669456 = 24313375379
BaseRepresentation
bin1011100001100…
…00111100010000
320201220022120020
411300300330100
5144221410311
613331543440
72252451102
oct560607420
9221808506
1096669456
114a627214
122845ab80
1317048880
14cba5572
158747c06
hex5c30f10

96669456 has 160 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 28035072.

The previous prime is 96669451. The next prime is 96669457. The reversal of 96669456 is 65496669.

It is a junction number, because it is equal to n+sod(n) for n = 96669399 and 96669408.

It is not an unprimeable number, because it can be changed into a prime (96669451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223625 + ... + 1223703.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 296669456 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 96669456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

96669456 is an abundant number, since it is smaller than the sum of its proper divisors (188312304).

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

96669456 is a wasteful number, since it uses less digits than its factorization.

96669456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 96669456 is about 9832.0626523634. The cubic root of 96669456 is about 458.9475877709.

The spelling of 96669456 in words is "ninety-six million, six hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 53 74 78 79 104 106 111 148 156 158 159 208 212 222 237 296 312 316 318 424 444 474 481 592 624 632 636 689 848 888 948 962 1027 1264 1272 1378 1443 1776 1896 1924 1961 2054 2067 2544 2756 2886 2923 3081 3792 3848 3922 4108 4134 4187 5512 5772 5846 5883 6162 7696 7844 8216 8268 8374 8769 11024 11544 11692 11766 12324 12561 15688 16432 16536 16748 17538 23088 23384 23532 24648 25122 25493 31376 33072 33496 35076 37999 46768 47064 49296 50244 50986 54431 66992 70152 75998 76479 94128 100488 101972 108862 113997 140304 151996 152958 154919 163293 200976 203944 217724 227994 303992 305916 309838 326586 407888 435448 455988 464757 607984 611832 619676 653172 870896 911976 929514 1223664 1239352 1306344 1823952 1859028 2013947 2478704 2612688 3718056 4027894 6041841 7436112 8055788 12083682 16111576 24167364 32223152 48334728 96669456