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896400544 = 251319247127
BaseRepresentation
bin110101011011011…
…111110010100000
32022110201212101011
4311123133302200
53313434304134
6224540550304
731133164444
oct6533376240
92273655334
10896400544
1141aaa3aa6
12210252394
13113936230
14870a0824
1553a6a264
hex356dfca0

896400544 has 144 divisors (see below), whose sum is σ = 2064642048. Its totient is φ = 380588544.

The previous prime is 896400541. The next prime is 896400569. The reversal of 896400544 is 445004698.

It is a junction number, because it is equal to n+sod(n) for n = 896400497 and 896400506.

It is not an unprimeable number, because it can be changed into a prime (896400541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7058209 + ... + 7058335.

It is an arithmetic number, because the mean of its divisors is an integer number (14337792).

Almost surely, 2896400544 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 896400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032321024).

896400544 is an abundant number, since it is smaller than the sum of its proper divisors (1168241504).

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

896400544 is a wasteful number, since it uses less digits than its factorization.

896400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 896400544 is about 29939.9489645524. The cubic root of 896400544 is about 964.2005402248.

The spelling of 896400544 in words is "eight hundred ninety-six million, four hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 76 94 104 127 152 188 208 247 254 304 361 376 416 494 508 608 611 722 752 893 988 1016 1222 1444 1504 1651 1786 1976 2032 2413 2444 2888 3302 3572 3952 4064 4693 4826 4888 5776 5969 6604 7144 7904 9386 9652 9776 11552 11609 11938 13208 14288 16967 18772 19304 19552 23218 23876 26416 28576 31369 33934 37544 38608 45847 46436 47752 52832 62738 67868 75088 77216 77597 91694 92872 95504 113411 125476 135736 150176 155194 183388 185744 191008 220571 226822 250952 271472 310388 366776 371488 441142 453644 501904 542944 596011 620776 733552 882284 907288 1003808 1192022 1241552 1467104 1474343 1764568 1814576 2154809 2384044 2483104 2948686 3529136 3629152 4309618 4768088 5897372 7058272 8619236 9536176 11794744 17238472 19072352 23589488 28012517 34476944 47178976 56025034 68953888 112050068 224100136 448200272 896400544