Search a number
-
+
897295104 = 2833433019
BaseRepresentation
bin110101011110111…
…010001100000000
32022112102022111000
4311132322030000
53314201420404
6225012052000
731143611466
oct6536721400
92275368430
10897295104
11420555102
12210604000
13113b8a464
1487254836
1553b95339
hex357ba300

897295104 has 144 divisors (see below), whose sum is σ = 2716067200. Its totient is φ = 292045824.

The previous prime is 897295097. The next prime is 897295151. The reversal of 897295104 is 401592798.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 897295104.

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, 295707 + ... + 298725.

Almost surely, 2897295104 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 897295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358033600).

897295104 is an abundant number, since it is smaller than the sum of its proper divisors (1818772096).

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

897295104 is a wasteful number, since it uses less digits than its factorization.

897295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 897295104 is about 29954.8844764923. The cubic root of 897295104 is about 964.5211738517.

The spelling of 897295104 in words is "eight hundred ninety-seven million, two hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 516 576 688 768 774 864 1032 1152 1161 1376 1548 1728 2064 2304 2322 2752 3019 3096 3456 4128 4644 5504 6038 6192 6912 8256 9057 9288 11008 12076 12384 16512 18114 18576 24152 24768 27171 33024 36228 37152 48304 49536 54342 72456 74304 81513 96608 99072 108684 129817 144912 148608 163026 193216 217368 259634 289824 297216 326052 386432 389451 434736 519268 579648 652104 772864 778902 869472 1038536 1159296 1168353 1304208 1557804 1738944 2077072 2318592 2336706 2608416 3115608 3477888 3505059 4154144 4673412 5216832 6231216 6955776 7010118 8308288 9346824 10433664 12462432 14020236 16616576 18693648 20867328 24924864 28040472 33233152 37387296 49849728 56080944 74774592 99699456 112161888 149549184 224323776 299098368 448647552 897295104