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96039424 = 291347307
BaseRepresentation
bin1011011100101…
…11001000000000
320200201022022201
411232113020000
5144041230144
613310242544
72244215215
oct556271000
9220638281
1096039424
114a236928
12281b6454
1316b87b80
14ca7db0c
1586711d4
hex5b97200

96039424 has 80 divisors (see below), whose sum is σ = 211736448. Its totient is φ = 43241472.

The previous prime is 96039413. The next prime is 96039439. The reversal of 96039424 is 42493069.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 312679 + ... + 312985.

Almost surely, 296039424 is an apocalyptic number.

96039424 is a gapful number since it is divisible by the number (94) 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 96039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

96039424 is an abundant number, since it is smaller than the sum of its proper divisors (115697024).

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

96039424 is a wasteful number, since it uses less digits than its factorization.

96039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 96039424 is about 9799.9706122008. The cubic root of 96039424 is about 457.9483679075.

The spelling of 96039424 in words is "ninety-six million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 307 376 416 512 611 614 752 832 1222 1228 1504 1664 2444 2456 3008 3328 3991 4888 4912 6016 6656 7982 9776 9824 12032 14429 15964 19552 19648 24064 28858 31928 39104 39296 57716 63856 78208 78592 115432 127712 156416 157184 187577 230864 255424 312832 375154 461728 510848 750308 923456 1021696 1500616 1846912 2043392 3001232 3693824 6002464 7387648 12004928 24009856 48019712 96039424