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254134972 = 227213175867
BaseRepresentation
bin11110010010111…
…00101010111100
3122201012101122101
433021130222330
51010024304342
641114554444
76204053200
oct1711345274
9581171571
10254134972
111204a8403
1271138a24
134085c830
1425a74b00
151749e3b7
hexf25cabc

254134972 has 72 divisors (see below), whose sum is σ = 590015664. Its totient is φ = 94606848.

The previous prime is 254134957. The next prime is 254134987. The reversal of 254134972 is 279431452.

It is an interprime number because it is at equal distance from previous prime (254134957) and next prime (254134987).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40383 + ... + 46249.

It is an arithmetic number, because the mean of its divisors is an integer number (8194662).

Almost surely, 2254134972 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 254134972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295007832).

254134972 is an abundant number, since it is smaller than the sum of its proper divisors (335880692).

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

254134972 is a wasteful number, since it uses less digits than its factorization.

254134972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5906 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 254134972 is about 15941.6113363737. The cubic root of 254134972 is about 633.4147092728.

The spelling of 254134972 in words is "two hundred fifty-four million, one hundred thirty-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 5867 6188 10829 11734 21658 23468 41069 43316 76271 82138 99739 152542 164276 199478 287483 305084 398956 533897 574966 698173 1067794 1149932 1296607 1396346 2135588 2593214 2792692 3737279 4887211 5186428 7474558 9076249 9774422 14949116 18152498 19548844 36304996 63533743 127067486 254134972