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445854864 = 243713103991
BaseRepresentation
bin11010100100110…
…011010010010000
31011001221202220010
4122210303102100
51403114323424
6112124114520
714022463260
oct3244632220
91131852803
10445854864
112097453a4
12105395a40
13714a8060
14432dd7a0
1529220229
hex1a933490

445854864 has 160 divisors (see below), whose sum is σ = 1432797184. Its totient is φ = 116328960.

The previous prime is 445854863. The next prime is 445854889. The reversal of 445854864 is 468458544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (445854863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449409 + ... + 450399.

Almost surely, 2445854864 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 445854864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716398592).

445854864 is an abundant number, since it is smaller than the sum of its proper divisors (986942320).

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

445854864 is a wasteful number, since it uses less digits than its factorization.

445854864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 48.

The square root of 445854864 is about 21115.2756079574. The cubic root of 445854864 is about 763.9492396125.

The spelling of 445854864 in words is "four hundred forty-five million, eight hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 103 104 112 156 168 182 206 208 273 309 312 336 364 412 546 618 624 721 728 824 991 1092 1236 1339 1442 1456 1648 1982 2163 2184 2472 2678 2884 2973 3964 4017 4326 4368 4944 5356 5768 5946 6937 7928 8034 8652 9373 10712 11536 11892 12883 13874 15856 16068 17304 18746 20811 21424 23784 25766 27748 28119 32136 34608 37492 38649 41622 47568 51532 55496 56238 64272 74984 77298 83244 90181 102073 103064 110992 112476 149968 154596 166488 180362 204146 206128 224952 270543 306219 309192 332976 360724 408292 449904 541086 612438 618384 714511 721448 816584 1082172 1224876 1326949 1429022 1442896 1633168 2143533 2164344 2449752 2653898 2858044 3980847 4287066 4328688 4899504 5307796 5716088 7961694 8574132 9288643 10615592 11432176 15923388 17148264 18577286 21231184 27865929 31846776 34296528 37154572 55731858 63693552 74309144 111463716 148618288 222927432 445854864