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4464096 = 253721373
BaseRepresentation
bin10001000001110111100000
322101210120220
4101001313200
52120322341
6235403040
752641600
oct21016740
98353526
104464096
112579a3a
1215b3480
13c03ba0
14842c00
155d2a66
hex441de0

4464096 has 144 divisors (see below), whose sum is σ = 14881104. Its totient is φ = 1161216.

The previous prime is 4464091. The next prime is 4464101. The reversal of 4464096 is 6904644.

It is an interprime number because it is at equal distance from previous prime (4464091) and next prime (4464101).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61116 + ... + 61188.

It is an arithmetic number, because the mean of its divisors is an integer number (103341).

Almost surely, 24464096 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 4464096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440552).

4464096 is an abundant number, since it is smaller than the sum of its proper divisors (10417008).

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

4464096 is a wasteful number, since it uses less digits than its factorization.

4464096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4464096 is about 2112.8407417503. The cubic root of 4464096 is about 164.6561065274.

The spelling of 4464096 in words is "four million, four hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 73 78 84 91 96 98 104 112 146 147 156 168 182 196 208 219 224 273 292 294 312 336 364 392 416 438 511 546 584 588 624 637 672 728 784 876 949 1022 1092 1168 1176 1248 1274 1456 1533 1568 1752 1898 1911 2044 2184 2336 2352 2548 2847 2912 3066 3504 3577 3796 3822 4088 4368 4704 5096 5694 6132 6643 7008 7154 7592 7644 8176 8736 10192 10731 11388 12264 13286 14308 15184 15288 16352 19929 20384 21462 22776 24528 26572 28616 30368 30576 39858 42924 45552 46501 49056 53144 57232 61152 79716 85848 91104 93002 106288 114464 139503 159432 171696 186004 212576 279006 318864 343392 372008 558012 637728 744016 1116024 1488032 2232048 4464096