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1449286368 = 253294112697
BaseRepresentation
bin101011001100010…
…0101101011100000
310202000002101010220
41112120211223200
510432004130433
6355451123040
750625505455
oct12630455340
93660071126
101449286368
116840a2332
12345443480
131a13470ca
14da6a182c
158737d2b3
hex56625ae0

1449286368 has 96 divisors (see below), whose sum is σ = 4031868960. Its totient is φ = 455024640.

The previous prime is 1449286357. The next prime is 1449286379. The reversal of 1449286368 is 8636829441.

It is an interprime number because it is at equal distance from previous prime (1449286357) and next prime (1449286379).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1449286368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107796 + ... + 120492.

It is an arithmetic number, because the mean of its divisors is an integer number (41998635).

Almost surely, 21449286368 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 1449286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015934480).

1449286368 is an abundant number, since it is smaller than the sum of its proper divisors (2582582592).

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

1449286368 is a wasteful number, since it uses less digits than its factorization.

1449286368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12772 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 1449286368 is about 38069.4939288665. The cubic root of 1449286368 is about 1131.6654815310.

The spelling of 1449286368 in words is "one billion, four hundred forty-nine million, two hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 82 87 96 116 123 164 174 232 246 328 348 464 492 656 696 928 984 1189 1312 1392 1968 2378 2784 3567 3936 4756 7134 9512 12697 14268 19024 25394 28536 38048 38091 50788 57072 76182 101576 114144 152364 203152 304728 368213 406304 520577 609456 736426 1041154 1104639 1218912 1472852 1561731 2082308 2209278 2945704 3123462 4164616 4418556 5891408 6246924 8329232 8837112 11782816 12493848 15096733 16658464 17674224 24987696 30193466 35348448 45290199 49975392 60386932 90580398 120773864 181160796 241547728 362321592 483095456 724643184 1449286368