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96497152 = 29296797
BaseRepresentation
bin1011100000001…
…10111000000000
320201120120012121
411300012320000
5144200402102
613324134024
72251132543
oct560067000
9221516177
1096497152
114a519814
1228397314
1316cb830b
14cb5c85a
158711b37
hex5c06e00

96497152 has 80 divisors (see below), whose sum is σ = 204518160. Its totient is φ = 45416448.

The previous prime is 96497129. The next prime is 96497179. The reversal of 96497152 is 25179469.

It is a happy number.

It is a super-2 number, since 2×964971522 = 18623400688222208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96497099 and 96497108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994768 + ... + 994864.

It is an arithmetic number, because the mean of its divisors is an integer number (2556477).

Almost surely, 296497152 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 96497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102259080).

96497152 is an abundant number, since it is smaller than the sum of its proper divisors (108021008).

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

96497152 is an equidigital number, since it uses as much as digits as its factorization.

96497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 96497152 is about 9823.2963917414. The cubic root of 96497152 is about 458.6747489712.

The spelling of 96497152 in words is "ninety-six million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 67 97 116 128 134 194 232 256 268 388 464 512 536 776 928 1072 1552 1856 1943 2144 2813 3104 3712 3886 4288 5626 6208 6499 7424 7772 8576 11252 12416 12998 14848 15544 17152 22504 24832 25996 31088 34304 45008 49664 51992 62176 90016 103984 124352 180032 188471 207968 248704 360064 376942 415936 497408 720128 753884 831872 994816 1440256 1507768 1663744 3015536 3327488 6031072 12062144 24124288 48248576 96497152