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48627344 = 2417317379
BaseRepresentation
bin1011100101111…
…1111010010000
310101111112011202
42321133322100
544422033334
64454130332
71130216453
oct271377220
9111445152
1048627344
11254a3497
12143509a8
13a0c769c
14665b49a
15440817e
hex2e5fe90

48627344 has 80 divisors (see below), whose sum is σ = 105707520. Its totient is φ = 21565440.

The previous prime is 48627329. The next prime is 48627347. The reversal of 48627344 is 44372684.

It is a junction number, because it is equal to n+sod(n) for n = 48627298 and 48627307.

It is not an unprimeable number, because it can be changed into a prime (48627347) 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, 615497 + ... + 615575.

It is an arithmetic number, because the mean of its divisors is an integer number (1321344).

Almost surely, 248627344 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 48627344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853760).

48627344 is an abundant number, since it is smaller than the sum of its proper divisors (57080176).

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

48627344 is a wasteful number, since it uses less digits than its factorization.

48627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 48627344 is about 6973.3309114081. The cubic root of 48627344 is about 365.0005479444. Note that the first 3 decimals are identical.

The spelling of 48627344 in words is "forty-eight million, six hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 73 79 124 136 146 158 248 272 292 316 496 527 584 632 1054 1168 1241 1264 1343 2108 2263 2449 2482 2686 4216 4526 4898 4964 5372 5767 8432 9052 9796 9928 10744 11534 18104 19592 19856 21488 23068 36208 38471 39184 41633 46136 76942 83266 92272 98039 153884 166532 178777 196078 307768 333064 357554 392156 615536 666128 715108 784312 1430216 1568624 2860432 3039209 6078418 12156836 24313672 48627344