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99032352 = 25331107311
BaseRepresentation
bin1011110011100…
…01110100100000
320220100100211220
411321301310200
5200323013402
613454335040
72311522026
oct571616440
9226310756
1099032352
11509a0521
12291ba480
1317695233
14d21c716
158a62dbc
hex5e71d20

99032352 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 31545600.

The previous prime is 99032333. The next prime is 99032399. The reversal of 99032352 is 25323099.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 318277 + ... + 318587.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 299032352 is an apocalyptic number.

It is a pronic number, being equal to 9951×9952.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

99032352 is an abundant number, since it is smaller than the sum of its proper divisors (172692192).

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

99032352 is a wasteful number, since it uses less digits than its factorization.

99032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 99032352 is about 9951.4999874391. The cubic root of 99032352 is about 462.6568868292.

The spelling of 99032352 in words is "ninety-nine million, thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 107 124 186 214 248 311 321 372 428 496 622 642 744 856 933 992 1244 1284 1488 1712 1866 2488 2568 2976 3317 3424 3732 4976 5136 6634 7464 9641 9951 9952 10272 13268 14928 19282 19902 26536 28923 29856 33277 38564 39804 53072 57846 66554 77128 79608 99831 106144 115692 133108 154256 159216 199662 231384 266216 308512 318432 399324 462768 532432 798648 925536 1031587 1064864 1597296 2063174 3094761 3194592 4126348 6189522 8252696 12379044 16505392 24758088 33010784 49516176 99032352