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248497152 = 2103233517
BaseRepresentation
bin11101100111111…
…00010000000000
3122022120222000020
432303330100000
51002103402102
640354053440
76105122331
oct1663742000
9568528006
10248497152
111182a7652
126b27a280
133c637647
1425008288
1516c38bbc
hexecfc400

248497152 has 88 divisors (see below), whose sum is σ = 691329216. Its totient is φ = 79208448.

The previous prime is 248497133. The next prime is 248497153. The reversal of 248497152 is 251794842.

It is a super-2 number, since 2×2484971522 = 123501669104222208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248497153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68898 + ... + 72414.

Almost surely, 2248497152 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 248497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345664608).

248497152 is an abundant number, since it is smaller than the sum of its proper divisors (442832064).

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

248497152 is a wasteful number, since it uses less digits than its factorization.

248497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3545 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 248497152 is about 15763.7924371009. The cubic root of 248497152 is about 628.6956738262.

The spelling of 248497152 in words is "two hundred forty-eight million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 3517 4416 5888 7034 8832 10551 11776 14068 17664 21102 23552 28136 35328 42204 56272 70656 80891 84408 112544 161782 168816 225088 242673 323564 337632 450176 485346 647128 675264 900352 970692 1294256 1350528 1800704 1941384 2588512 2701056 3601408 3882768 5177024 5402112 7765536 10354048 10804224 15531072 20708096 31062144 41416192 62124288 82832384 124248576 248497152