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48896848 = 24711134371
BaseRepresentation
bin1011101010000…
…1101101010000
310102000012212101
42322201231100
5100004144343
64504010144
71132421260
oct272415520
9112005771
1048896848
1125667a20
1214460954
13a190260
1466cb7a0
15445ce4d
hex2ea1b50

48896848 has 160 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 16934400.

The previous prime is 48896843. The next prime is 48896849. The reversal of 48896848 is 84869884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48896843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688653 + ... + 688723.

Almost surely, 248896848 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 48896848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

48896848 is an abundant number, since it is smaller than the sum of its proper divisors (83094704).

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

48896848 is a wasteful number, since it uses less digits than its factorization.

48896848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 55.

The square root of 48896848 is about 6992.6281182400. The cubic root of 48896848 is about 365.6736118967.

It can be divided in two parts, 488 and 96848, that added together give a cube (97336 = 463).

The spelling of 48896848 in words is "forty-eight million, eight hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 43 44 52 56 71 77 86 88 91 104 112 142 143 154 172 176 182 208 284 286 301 308 344 364 473 497 559 568 572 602 616 688 728 781 923 946 994 1001 1118 1136 1144 1204 1232 1456 1562 1846 1892 1988 2002 2236 2288 2408 3053 3124 3311 3692 3784 3913 3976 4004 4472 4816 5467 6106 6149 6248 6461 6622 7384 7568 7826 7952 8008 8944 10153 10934 12212 12298 12496 12922 13244 14768 15652 16016 20306 21371 21868 24424 24596 25844 26488 31304 33583 39689 40612 42742 43043 43736 48848 49192 51688 52976 62608 67166 71071 79378 81224 85484 86086 87472 98384 103376 134332 142142 158756 162448 170968 172172 235081 268664 277823 284284 317512 341936 344344 436579 470162 537328 555646 568568 635024 688688 873158 940324 1111292 1137136 1746316 1880648 2222584 3056053 3492632 3761296 4445168 6112106 6985264 12224212 24448424 48896848