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48322656 = 2534103181
BaseRepresentation
bin1011100001010…
…1100001100000
310100221001020000
42320111201200
544332311111
64443420000
71124510244
oct270254140
9110831200
1048322656
1125305588
1214224600
13a01bab5
1465bc424
154397c56
hex2e15860

48322656 has 120 divisors (see below), whose sum is σ = 144288144. Its totient is φ = 15863040.

The previous prime is 48322633. The next prime is 48322691. The reversal of 48322656 is 65622384.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 48322656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266886 + ... + 267066.

Almost surely, 248322656 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 48322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72144072).

48322656 is an abundant number, since it is smaller than the sum of its proper divisors (95965488).

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

48322656 is a wasteful number, since it uses less digits than its factorization.

48322656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 48322656 is about 6951.4499207000. The cubic root of 48322656 is about 364.2366130558.

The spelling of 48322656 in words is "forty-eight million, three hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 181 206 216 288 309 324 362 412 432 543 618 648 724 824 864 927 1086 1236 1296 1448 1629 1648 1854 2172 2472 2592 2781 2896 3258 3296 3708 4344 4887 4944 5562 5792 6516 7416 8343 8688 9774 9888 11124 13032 14661 14832 16686 17376 18643 19548 22248 26064 29322 29664 33372 37286 39096 44496 52128 55929 58644 66744 74572 78192 88992 111858 117288 133488 149144 156384 167787 223716 234576 266976 298288 335574 447432 469152 503361 596576 671148 894864 1006722 1342296 1510083 1789728 2013444 2684592 3020166 4026888 5369184 6040332 8053776 12080664 16107552 24161328 48322656