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27252148 = 22711233847
BaseRepresentation
bin110011111110…
…1010110110100
31220021112220211
41213331112310
523434032043
62412035204
7450432220
oct147752664
956245824
1027252148
1114423a40
129162b04
135852341
143895780
1525d4a9d
hex19fd5b4

27252148 has 48 divisors (see below), whose sum is σ = 62060544. Its totient is φ = 10153440.

The previous prime is 27252119. The next prime is 27252149. The reversal of 27252148 is 84125272.

It is a happy number.

It is a super-2 number, since 2×272521482 = 1485359141227808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27252149) 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, 5161 + ... + 9007.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 227252148 is an apocalyptic number.

27252148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27252148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030272).

27252148 is an abundant number, since it is smaller than the sum of its proper divisors (34808396).

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

27252148 is a wasteful number, since it uses less digits than its factorization.

27252148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3890 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 27252148 is about 5220.3589914871. The cubic root of 27252148 is about 300.9309893556.

The spelling of 27252148 in words is "twenty-seven million, two hundred fifty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 3847 7084 7694 15388 26929 42317 53858 84634 88481 107716 169268 176962 296219 353924 592438 619367 973291 1184876 1238734 1946582 2477468 3893164 6813037 13626074 27252148