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38957250 = 2353127409
BaseRepresentation
bin1001010010011…
…1000011000010
32201022020022010
42110213003002
534433113000
63510553350
7652062663
oct224470302
981266263
1038957250
111aa99182
1211068856
1380c0037
14526136a
153647d50
hex25270c2

38957250 has 64 divisors (see below), whose sum is σ = 98242560. Its totient is φ = 10281600.

The previous prime is 38957249. The next prime is 38957293. The reversal of 38957250 is 5275983.

It is a junction number, because it is equal to n+sod(n) for n = 38957199 and 38957208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95046 + ... + 95454.

It is an arithmetic number, because the mean of its divisors is an integer number (1535040).

Almost surely, 238957250 is an apocalyptic number.

38957250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38957250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121280).

38957250 is an abundant number, since it is smaller than the sum of its proper divisors (59285310).

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

38957250 is a wasteful number, since it uses less digits than its factorization.

38957250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 38957250 is about 6241.5743206342. The cubic root of 38957250 is about 338.9971893503.

The spelling of 38957250 in words is "thirty-eight million, nine hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 127 150 250 254 375 381 409 635 750 762 818 1227 1270 1905 2045 2454 3175 3810 4090 6135 6350 9525 10225 12270 15875 19050 20450 30675 31750 47625 51125 51943 61350 95250 102250 103886 153375 155829 259715 306750 311658 519430 779145 1298575 1558290 2597150 3895725 6492875 7791450 12985750 19478625 38957250