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48635424 = 2533181311
BaseRepresentation
bin1011100110000…
…1111000100000
310101111221021000
42321201320200
544422313144
64454232000
71130252145
oct271417040
9111457230
1048635424
11254a9572
1214355600
13a0cb276
1466603cc
15440a769
hex2e61e20

48635424 has 96 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 16070400.

The previous prime is 48635423. The next prime is 48635429. The reversal of 48635424 is 42453684.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48635423) 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 15 ways as a sum of consecutive naturals, for example, 156229 + ... + 156539.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 248635424 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 48635424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

48635424 is an abundant number, since it is smaller than the sum of its proper divisors (94460256).

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

48635424 is a wasteful number, since it uses less digits than its factorization.

48635424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 48635424 is about 6973.9102374493. The cubic root of 48635424 is about 365.0207631899.

The spelling of 48635424 in words is "forty-eight million, six hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 311 362 432 543 622 724 864 933 1086 1244 1448 1629 1866 2172 2488 2799 2896 3258 3732 4344 4887 4976 5598 5792 6516 7464 8397 8688 9774 9952 11196 13032 14928 16794 17376 19548 22392 26064 29856 33588 39096 44784 52128 56291 67176 78192 89568 112582 134352 156384 168873 225164 268704 337746 450328 506619 675492 900656 1013238 1350984 1519857 1801312 2026476 2701968 3039714 4052952 5403936 6079428 8105904 12158856 16211808 24317712 48635424