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248240448 = 2632631683
BaseRepresentation
bin11101100101111…
…01100101000000
3122022002220212200
432302331211000
51002022143243
640344353200
76103003041
oct1662754500
9568086780
10248240448
111181417a5
126b175800
133c577851
1424d7c8c8
1516bd7ad3
hexecbd940

248240448 has 84 divisors (see below), whose sum is σ = 713707488. Its totient is φ = 82494720.

The previous prime is 248240431. The next prime is 248240459. The reversal of 248240448 is 844042842.

248240448 is a `hidden beast` number, since 248 + 2 + 404 + 4 + 8 = 666.

248240448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363115 + ... + 363797.

Almost surely, 2248240448 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 248240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356853744).

248240448 is an abundant number, since it is smaller than the sum of its proper divisors (465467040).

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

248240448 is a wasteful number, since it uses less digits than its factorization.

248240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 248240448 is about 15755.6481301151. The cubic root of 248240448 is about 628.4791129283.

The spelling of 248240448 in words is "two hundred forty-eight million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 631 683 1262 1366 1893 2049 2524 2732 3786 4098 5048 5464 5679 6147 7572 8196 10096 10928 11358 12294 15144 16392 20192 21856 22716 24588 30288 32784 40384 43712 45432 49176 60576 65568 90864 98352 121152 131136 181728 196704 363456 393408 430973 861946 1292919 1723892 2585838 3447784 3878757 5171676 6895568 7757514 10343352 13791136 15515028 20686704 27582272 31030056 41373408 62060112 82746816 124120224 248240448