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48387456 = 273413359
BaseRepresentation
bin1011100010010…
…1010110000000
310101001100010000
42320211112000
544341344311
64445040000
71125200205
oct270452600
9111040100
1048387456
112534a237
1214256000
13a042440
1465d7cac
1543ac056
hex2e25580

48387456 has 160 divisors (see below), whose sum is σ = 155509200. Its totient is φ = 14846976.

The previous prime is 48387439. The next prime is 48387473. The reversal of 48387456 is 65478384.

It is an interprime number because it is at equal distance from previous prime (48387439) and next prime (48387473).

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, 134605 + ... + 134963.

Almost surely, 248387456 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 48387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77754600).

48387456 is an abundant number, since it is smaller than the sum of its proper divisors (107121744).

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

48387456 is a wasteful number, since it uses less digits than its factorization.

48387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 48387456 is about 6956.1092573363. The cubic root of 48387456 is about 364.3993523870.

The spelling of 48387456 in words is "forty-eight million, three hundred eighty-seven thousand, four hundred fifty-six".

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 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 359 384 416 432 468 576 624 648 702 718 832 864 936 1053 1077 1152 1248 1296 1404 1436 1664 1728 1872 2106 2154 2496 2592 2808 2872 3231 3456 3744 4212 4308 4667 4992 5184 5616 5744 6462 7488 8424 8616 9334 9693 10368 11232 11488 12924 14001 14976 16848 17232 18668 19386 22464 22976 25848 28002 29079 33696 34464 37336 38772 42003 44928 45952 51696 56004 58158 67392 68928 74672 77544 84006 103392 112008 116316 126009 134784 137856 149344 155088 168012 206784 224016 232632 252018 298688 310176 336024 378027 413568 448032 465264 504036 597376 620352 672048 756054 896064 930528 1008072 1240704 1344096 1512108 1792128 1861056 2016144 2688192 3024216 3722112 4032288 5376384 6048432 8064576 12096864 16129152 24193728 48387456