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872449140 = 2235791031787
BaseRepresentation
bin110100000000001…
…000010001110100
32020210200000020010
4310000020101310
53241321333030
6222323340220
730422460333
oct6400102164
92223600203
10872449140
11408524a52
12204221670
1310b99b3c4
1483c27d1a
15518d86b0
hex34008474

872449140 has 96 divisors (see below), whose sum is σ = 2499194880. Its totient is φ = 227350656.

The previous prime is 872449121. The next prime is 872449147. The reversal of 872449140 is 41944278.

It is a super-2 number, since 2×8724491402 = 1522335003773479200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872449147) 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, 487327 + ... + 489113.

It is an arithmetic number, because the mean of its divisors is an integer number (26033280).

Almost surely, 2872449140 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 872449140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249597440).

872449140 is an abundant number, since it is smaller than the sum of its proper divisors (1626745740).

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

872449140 is a wasteful number, since it uses less digits than its factorization.

872449140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 872449140 is about 29537.2500412615. The cubic root of 872449140 is about 955.5352353610.

The spelling of 872449140 in words is "eight hundred seventy-two million, four hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 103 158 206 237 309 316 395 412 474 515 618 790 948 1030 1185 1236 1545 1580 1787 2060 2370 3090 3574 4740 5361 6180 7148 8137 8935 10722 16274 17870 21444 24411 26805 32548 35740 40685 48822 53610 81370 97644 107220 122055 141173 162740 184061 244110 282346 368122 423519 488220 552183 564692 705865 736244 847038 920305 1104366 1411730 1694076 1840610 2117595 2208732 2760915 2823460 3681220 4235190 5521830 8470380 11043660 14540819 29081638 43622457 58163276 72704095 87244914 145408190 174489828 218112285 290816380 436224570 872449140