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248855376 = 24371126121
BaseRepresentation
bin11101101010100…
…11101101010000
3122100021011101210
432311103231100
51002201333001
640405500120
76111143610
oct1665235520
9570234353
10248855376
11118521800
126b411640
133c731703
142509ca40
1516ca9dd6
hexed53b50

248855376 has 120 divisors (see below), whose sum is σ = 807712192. Its totient is φ = 64627200.

The previous prime is 248855339. The next prime is 248855381. The reversal of 248855376 is 673558842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37596 + ... + 43716.

Almost surely, 2248855376 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 248855376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403856096).

248855376 is an abundant number, since it is smaller than the sum of its proper divisors (558856816).

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

248855376 is a wasteful number, since it uses less digits than its factorization.

248855376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6144 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 248855376 is about 15775.1505856521. The cubic root of 248855376 is about 628.9976299974.

The spelling of 248855376 in words is "two hundred forty-eight million, eight hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6121 6776 10164 12242 13552 18363 20328 24484 36726 40656 42847 48968 67331 73452 85694 97936 128541 134662 146904 171388 201993 257082 269324 293808 342776 403986 471317 514164 538648 685552 740641 807972 942634 1028328 1077296 1413951 1481282 1615944 1885268 2056656 2221923 2827902 2962564 3231888 3770536 4443846 5184487 5655804 5925128 7541072 8887692 10368974 11311608 11850256 15553461 17775384 20737948 22623216 31106922 35550768 41475896 62213844 82951792 124427688 248855376