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48137274 = 2332959521
BaseRepresentation
bin1011011110100…
…0010000111010
310100120121221000
42313220100322
544310343044
64435425430
71123105623
oct267502072
9110517830
1048137274
1125199279
1214155276
139c855c3
146570a4a
15435cd69
hex2de843a

48137274 has 64 divisors (see below), whose sum is σ = 112752000. Its totient is φ = 15200640.

The previous prime is 48137273. The next prime is 48137291. The reversal of 48137274 is 47273184.

It is a happy number.

48137274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48137273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92134 + ... + 92654.

It is an arithmetic number, because the mean of its divisors is an integer number (1761750).

Almost surely, 248137274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48137274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376000).

48137274 is an abundant number, since it is smaller than the sum of its proper divisors (64614726).

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

48137274 is a wasteful number, since it uses less digits than its factorization.

48137274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 48137274 is about 6938.1030548703. The cubic root of 48137274 is about 363.7702380067.

The spelling of 48137274 in words is "forty-eight million, one hundred thirty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 59 87 118 174 177 261 354 521 522 531 783 1042 1062 1563 1566 1593 1711 3126 3186 3422 4689 5133 9378 10266 14067 15109 15399 28134 30218 30739 30798 45327 46197 61478 90654 92217 92394 135981 184434 271962 276651 407943 553302 815886 829953 891431 1659906 1782862 2674293 5348586 8022879 16045758 24068637 48137274