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48414456 = 23332959131
BaseRepresentation
bin1011100010101…
…1111011111000
310101002201011000
42320223323320
544343230311
64445405000
71125342006
oct270537370
9111081130
1048414456
1125368552
1214269760
13a05180c
146603a76
1543b5056
hex2e2bef8

48414456 has 128 divisors (see below), whose sum is σ = 142560000. Its totient is φ = 15200640.

The previous prime is 48414449. The next prime is 48414461. The reversal of 48414456 is 65441484.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48414456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369511 + ... + 369641.

It is an arithmetic number, because the mean of its divisors is an integer number (1113750).

Almost surely, 248414456 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 48414456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280000).

48414456 is an abundant number, since it is smaller than the sum of its proper divisors (94145544).

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

48414456 is a wasteful number, since it uses less digits than its factorization.

48414456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48414456 is about 6958.0497267553. The cubic root of 48414456 is about 364.4671175607.

The spelling of 48414456 in words is "forty-eight million, four hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 59 72 87 108 116 118 131 174 177 216 232 236 261 262 348 354 393 472 522 524 531 696 708 783 786 1044 1048 1062 1179 1416 1566 1572 1593 1711 2088 2124 2358 3132 3144 3186 3422 3537 3799 4248 4716 5133 6264 6372 6844 7074 7598 7729 9432 10266 11397 12744 13688 14148 15196 15399 15458 20532 22794 23187 28296 30392 30798 30916 34191 41064 45588 46197 46374 61596 61832 68382 69561 91176 92394 92748 102573 123192 136764 139122 184788 185496 205146 208683 224141 273528 278244 369576 410292 417366 448282 556488 672423 820584 834732 896564 1344846 1669464 1793128 2017269 2689692 4034538 5379384 6051807 8069076 12103614 16138152 24207228 48414456