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895472640 = 21032519433
BaseRepresentation
bin110101010111111…
…101010000000000
32022101222201112100
4311113331100000
53313220111030
6224505030400
731122251256
oct6527752000
92271881470
10895472640
1141a51a937
1220ba85400
1311369ca8a
1486cdc5d6
1553935360
hex355fd400

895472640 has 132 divisors (see below), whose sum is σ = 3102949044. Its totient is φ = 238780416.

The previous prime is 895472629. The next prime is 895472647. The reversal of 895472640 is 46274598.

It is a happy number.

895472640 is a `hidden beast` number, since 89 + 547 + 26 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 712249344 = 13536^2 + 26688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895472647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36364 + ... + 55796.

Almost surely, 2895472640 is an apocalyptic number.

895472640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551474522).

895472640 is an abundant number, since it is smaller than the sum of its proper divisors (2207476404).

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

895472640 is a wasteful number, since it uses less digits than its factorization.

895472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19464 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 895472640 is about 29924.4488671053. The cubic root of 895472640 is about 963.8677297673.

The spelling of 895472640 in words is "eight hundred ninety-five million, four hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 19433 23040 38866 46080 58299 77732 97165 116598 155464 174897 194330 233196 291495 310928 349794 388660 466392 582990 621856 699588 777320 874485 932784 1165980 1243712 1399176 1554640 1748970 1865568 2331960 2487424 2798352 3109280 3497940 3731136 4663920 4974848 5596704 6218560 6995880 7462272 9327840 9949696 11193408 12437120 13991760 14924544 18655680 19899392 22386816 24874240 27983520 29849088 37311360 44773632 49748480 55967040 59698176 74622720 89547264 99496960 111934080 149245440 179094528 223868160 298490880 447736320 895472640