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4971648 = 273112107
BaseRepresentation
bin10010111101110010000000
3100100120211010
4102331302000
52233043043
6254320520
760154413
oct22756200
910316733
104971648
112896300
1217b9140
131050c06
14935b7a
15683133
hex4bdc80

4971648 has 96 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 1492480.

The previous prime is 4971643. The next prime is 4971671. The reversal of 4971648 is 8461794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4971643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46411 + ... + 46517.

Almost surely, 24971648 is an apocalyptic number.

4971648 is a gapful number since it is divisible by the number (48) 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 4971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

4971648 is an abundant number, since it is smaller than the sum of its proper divisors (9679632).

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

4971648 is a wasteful number, since it uses less digits than its factorization.

4971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 4971648 is about 2229.7192648403. The cubic root of 4971648 is about 170.6737735756.

It can be divided in two parts, 497 and 1648, that added together give a triangular number (2145 = T65).

The spelling of 4971648 in words is "four million, nine hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 121 128 132 176 192 214 242 264 321 352 363 384 428 484 528 642 704 726 856 968 1056 1177 1284 1408 1452 1712 1936 2112 2354 2568 2904 3424 3531 3872 4224 4708 5136 5808 6848 7062 7744 9416 10272 11616 12947 13696 14124 15488 18832 20544 23232 25894 28248 37664 38841 41088 46464 51788 56496 75328 77682 103576 112992 150656 155364 207152 225984 310728 414304 451968 621456 828608 1242912 1657216 2485824 4971648