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48629574 = 23271073607
BaseRepresentation
bin1011100110000…
…0011101000110
310101111122020100
42321200131012
544422121244
64454144530
71130226120
oct271403506
9111448210
1048629574
11254a5134
1214352146
13a0c86c6
14665c210
154408b69
hex2e60746

48629574 has 48 divisors (see below), whose sum is σ = 121575168. Its totient is φ = 13760496.

The previous prime is 48629573. The next prime is 48629591. The reversal of 48629574 is 47592684.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48629573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11679 + ... + 15285.

It is an arithmetic number, because the mean of its divisors is an integer number (2532816).

Almost surely, 248629574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48629574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60787584).

48629574 is an abundant number, since it is smaller than the sum of its proper divisors (72945594).

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

48629574 is a wasteful number, since it uses less digits than its factorization.

48629574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3726 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48629574 is about 6973.4908044680. The cubic root of 48629574 is about 365.0061273757.

The spelling of 48629574 in words is "forty-eight million, six hundred twenty-nine thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 3607 4494 6741 7214 10821 13482 21642 25249 32463 50498 64926 75747 151494 227241 385949 454482 771898 1157847 2315694 2701643 3473541 5403286 6947082 8104929 16209858 24314787 48629574