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902198094 = 237273127331
BaseRepresentation
bin110101110001100…
…111001101001110
32022212122102010020
4311301213031032
53321430314334
6225305123010
731233362100
oct6561471516
92285572106
10902198094
114232a3866
12212189466
13114bb6035
1487b6d570
1554312e49
hex35c6734e

902198094 has 96 divisors (see below), whose sum is σ = 2150977536. Its totient is φ = 251475840.

The previous prime is 902198083. The next prime is 902198111. The reversal of 902198094 is 490891209.

It is a super-2 number, since 2×9021980942 = 1627922801634465672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2725509 + ... + 2725839.

It is an arithmetic number, because the mean of its divisors is an integer number (22406016).

Almost surely, 2902198094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902198094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075488768).

902198094 is an abundant number, since it is smaller than the sum of its proper divisors (1248779442).

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

902198094 is a wasteful number, since it uses less digits than its factorization.

902198094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 902198094 is about 30036.6125586758. The cubic root of 902198094 is about 966.2747590620.

The spelling of 902198094 in words is "nine hundred two million, one hundred ninety-eight thousand, ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 127 146 147 219 254 294 331 381 438 511 662 762 889 993 1022 1533 1778 1986 2317 2667 3066 3577 4634 5334 6223 6951 7154 9271 10731 12446 13902 16219 18542 18669 21462 24163 27813 32438 37338 42037 48326 48657 55626 64897 72489 84074 97314 126111 129794 144978 169141 194691 252222 294259 338282 389382 454279 507423 588518 882777 908558 1014846 1183987 1362837 1765554 2059813 2367974 2725674 3068701 3551961 4119626 6137402 6179439 7103922 9206103 12358878 18412206 21480907 42961814 64442721 128885442 150366349 300732698 451099047 902198094