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202000896 = 293259743
BaseRepresentation
bin11000000101001…
…00101000000000
3112002002201010200
430002210220000
5403203012041
632013325200
75001656616
oct1402445000
9462081120
10202000896
11a402a299
1257796800
1332b07c76
141cb836b6
1512b021b6
hexc0a4a00

202000896 has 120 divisors (see below), whose sum is σ = 593667360. Its totient is φ = 66103296.

The previous prime is 202000879. The next prime is 202000901. The reversal of 202000896 is 698000202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271501 + ... + 272243.

It is an arithmetic number, because the mean of its divisors is an integer number (4947228).

Almost surely, 2202000896 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 202000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296833680).

202000896 is an abundant number, since it is smaller than the sum of its proper divisors (391666464).

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

202000896 is an equidigital number, since it uses as much as digits as its factorization.

202000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 202000896 is about 14212.7019246869. The cubic root of 202000896 is about 586.7472983757.

The spelling of 202000896 in words is "two hundred two million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 743 768 944 1062 1152 1416 1486 1536 1888 2124 2229 2304 2832 2972 3776 4248 4458 4608 5664 5944 6687 7552 8496 8916 11328 11888 13374 15104 16992 17832 22656 23776 26748 30208 33984 35664 43837 45312 47552 53496 67968 71328 87674 90624 95104 106992 131511 135936 142656 175348 190208 213984 263022 271872 285312 350696 380416 394533 427968 526044 570624 701392 789066 855936 1052088 1141248 1402784 1578132 1711872 2104176 2805568 3156264 3423744 4208352 5611136 6312528 8416704 11222272 12625056 16833408 22444544 25250112 33666816 50500224 67333632 101000448 202000896