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257102196 = 223133744543
BaseRepresentation
bin11110101001100…
…01000101110100
3122220210010220120
433110301011310
51011304232241
641302331540
76241222041
oct1724610564
9586703816
10257102196
1112214475a
1272129bb0
134135b2a0
14262081c8
1517888666
hexf531174

257102196 has 48 divisors (see below), whose sum is σ = 663527424. Its totient is φ = 76968576.

The previous prime is 257102191. The next prime is 257102207. The reversal of 257102196 is 691201752.

257102196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2571021962 = 132203078376044832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257102191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16500 + ... + 28043.

It is an arithmetic number, because the mean of its divisors is an integer number (13823488).

Almost surely, 2257102196 is an apocalyptic number.

257102196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257102196 is an abundant number, since it is smaller than the sum of its proper divisors (406425228).

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

257102196 is a wasteful number, since it uses less digits than its factorization.

257102196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44600 (or 44598 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 257102196 is about 16034.4066307425. The cubic root of 257102196 is about 635.8703802142.

The spelling of 257102196 in words is "two hundred fifty-seven million, one hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 44543 89086 133629 178172 267258 534516 579059 1158118 1648091 1737177 2316236 3296182 3474354 4944273 6592364 6948708 9888546 19777092 21425183 42850366 64275549 85700732 128551098 257102196