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1382490864 = 243217678429
BaseRepresentation
bin101001001100111…
…0010001011110000
310120100101210221100
41102121302023300
510312404201424
6345103324400
746154656416
oct12231621360
93510353840
101382490864
1164a41a937
12326bb0700
1319055b041
14d18752b6
1581586dc9
hex526722f0

1382490864 has 120 divisors (see below), whose sum is σ = 4158282960. Its totient is φ = 427198464.

The previous prime is 1382490839. The next prime is 1382490869. The reversal of 1382490864 is 4680942831.

It is a happy number.

1382490864 is a `hidden beast` number, since 1 + 3 + 82 + 490 + 86 + 4 = 666.

It is a super-2 number, since 2×13824908642 = 3822561978086932992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382490869) 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, 159802 + ... + 168230.

It is an arithmetic number, because the mean of its divisors is an integer number (34652358).

Almost surely, 21382490864 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 1382490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079141480).

1382490864 is an abundant number, since it is smaller than the sum of its proper divisors (2775792096).

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

1382490864 is a wasteful number, since it uses less digits than its factorization.

1382490864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1382490864 is about 37181.8620297585. The cubic root of 1382490864 is about 1114.0057265536.

The spelling of 1382490864 in words is "one billion, three hundred eighty-two million, four hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 67 68 72 102 134 136 144 153 201 204 268 272 306 402 408 536 603 612 804 816 1072 1139 1206 1224 1608 2278 2412 2448 3216 3417 4556 4824 6834 8429 9112 9648 10251 13668 16858 18224 20502 25287 27336 33716 41004 50574 54672 67432 75861 82008 101148 134864 143293 151722 164016 202296 286586 303444 404592 429879 564743 573172 606888 859758 1129486 1146344 1213776 1289637 1694229 1719516 2258972 2292688 2579274 3388458 3439032 4517944 5082687 5158548 6776916 6878064 9035888 9600631 10165374 10317096 13553832 19201262 20330748 20634192 27107664 28801893 38402524 40661496 57603786 76805048 81322992 86405679 115207572 153610096 172811358 230415144 345622716 460830288 691245432 1382490864