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48454848 = 263413719
BaseRepresentation
bin1011100011010…
…1110011000000
310101011202120000
42320311303000
544401023343
64450320000
71125600531
oct270656300
9111152500
1048454848
1125395932
1214289000
13a067010
146614688
1543c1ed3
hex2e35cc0

48454848 has 140 divisors (see below), whose sum is σ = 154899360. Its totient is φ = 14888448.

The previous prime is 48454841. The next prime is 48454877. The reversal of 48454848 is 84845484.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48454841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67033 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 248454848 is an apocalyptic number.

48454848 is a gapful number since it is divisible by the number (48) 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 48454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77449680).

48454848 is an abundant number, since it is smaller than the sum of its proper divisors (106444512).

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

48454848 is a wasteful number, since it uses less digits than its factorization.

48454848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 48454848 is about 6960.9516590765. The cubic root of 48454848 is about 364.5684472384.

The spelling of 48454848 in words is "forty-eight million, four hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 719 832 864 936 1053 1248 1296 1404 1438 1728 1872 2106 2157 2496 2592 2808 2876 3744 4212 4314 5184 5616 5752 6471 7488 8424 8628 9347 11232 11504 12942 16848 17256 18694 19413 22464 23008 25884 28041 33696 34512 37388 38826 46016 51768 56082 58239 67392 69024 74776 77652 84123 103536 112164 116478 138048 149552 155304 168246 207072 224328 232956 252369 299104 310608 336492 414144 448656 465912 504738 598208 621216 672984 757107 897312 931824 1009476 1242432 1345968 1514214 1794624 1863648 2018952 2691936 3028428 3727296 4037904 5383872 6056856 8075808 12113712 16151616 24227424 48454848