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96974352 = 24322512683
BaseRepresentation
bin1011100011110…
…11011000010000
320202110210210200
411301323120100
5144311134402
613342255200
72255161026
oct561733020
9222423720
1096974352
114a8152a2
1228587500
1317124597
14cc44716
1587a821c
hex5c7b610

96974352 has 60 divisors (see below), whose sum is σ = 272576304. Its totient is φ = 32184000.

The previous prime is 96974333. The next prime is 96974359. The reversal of 96974352 is 25347969.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96974298 and 96974307.

It is not an unprimeable number, because it can be changed into a prime (96974359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34803 + ... + 37485.

Almost surely, 296974352 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 96974352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136288152).

96974352 is an abundant number, since it is smaller than the sum of its proper divisors (175601952).

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

96974352 is a wasteful number, since it uses less digits than its factorization.

96974352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2939 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 96974352 is about 9847.5556357910. Note that the first 3 decimals coincide. The cubic root of 96974352 is about 459.4295891257.

The spelling of 96974352 in words is "ninety-six million, nine hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 2683 3012 4016 4518 5366 6024 8049 9036 10732 12048 16098 18072 21464 24147 32196 36144 42928 48294 64392 96588 128784 193176 386352 673433 1346866 2020299 2693732 4040598 5387464 6060897 8081196 10774928 12121794 16162392 24243588 32324784 48487176 96974352