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248453120 = 2115191277
BaseRepresentation
bin11101100111100…
…01100000000000
3122022111201121102
432303301200000
51002100444440
640353113532
76104550056
oct1663614000
9568451542
10248453120
11118277563
126b2588a8
133c6205a6
1424dd61d6
1516c2ab15
hexecf1800

248453120 has 96 divisors (see below), whose sum is σ = 628009200. Its totient is φ = 94076928.

The previous prime is 248453119. The next prime is 248453131. The reversal of 248453120 is 21354842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193922 + ... + 195198.

Almost surely, 2248453120 is an apocalyptic number.

248453120 is a gapful number since it is divisible by the number (20) 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 248453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314004600).

248453120 is an abundant number, since it is smaller than the sum of its proper divisors (379556080).

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

248453120 is a wasteful number, since it uses less digits than its factorization.

248453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 248453120 is about 15762.3957569908. The cubic root of 248453120 is about 628.6585381046.

The spelling of 248453120 in words is "two hundred forty-eight million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1277 1280 1520 2048 2432 2554 2560 3040 4864 5108 5120 6080 6385 9728 10216 10240 12160 12770 19456 20432 24263 24320 25540 38912 40864 48526 48640 51080 81728 97052 97280 102160 121315 163456 194104 194560 204320 242630 326912 388208 408640 485260 653824 776416 817280 970520 1307648 1552832 1634560 1941040 2615296 3105664 3269120 3882080 6211328 6538240 7764160 12422656 13076480 15528320 24845312 31056640 49690624 62113280 124226560 248453120