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4671264 = 2531319197
BaseRepresentation
bin10001110100011100100000
322210022202210
4101310130200
52143440024
6244042120
754463563
oct21643440
98708683
104671264
112700654
121693340
13c77280
148984da
15624129
hex474720

4671264 has 96 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1354752.

The previous prime is 4671259. The next prime is 4671269. The reversal of 4671264 is 4621764.

It is an interprime number because it is at equal distance from previous prime (4671259) and next prime (4671269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23614 + ... + 23810.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 24671264 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 4671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

4671264 is an abundant number, since it is smaller than the sum of its proper divisors (9299616).

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

4671264 is a wasteful number, since it uses less digits than its factorization.

4671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4671264 is about 2161.3107134329. The cubic root of 4671264 is about 167.1647888735.

The spelling of 4671264 in words is "four million, six hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 197 208 228 247 304 312 394 416 456 494 591 608 624 741 788 912 988 1182 1248 1482 1576 1824 1976 2364 2561 2964 3152 3743 3952 4728 5122 5928 6304 7486 7683 7904 9456 10244 11229 11856 14972 15366 18912 20488 22458 23712 29944 30732 40976 44916 48659 59888 61464 81952 89832 97318 119776 122928 145977 179664 194636 245856 291954 359328 389272 583908 778544 1167816 1557088 2335632 4671264