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48713644 = 227219103127
BaseRepresentation
bin1011100111010…
…0111110101100
310101122220120001
42321310332230
544432314034
64500034044
71131026200
oct271647654
9111586501
1048713644
1125552311
1214392924
13a127a55
146680b00
154423a14
hex2e74fac

48713644 has 72 divisors (see below), whose sum is σ = 106229760. Its totient is φ = 19432224.

The previous prime is 48713641. The next prime is 48713669. The reversal of 48713644 is 44631784.

It is a super-2 number, since 2×487136442 = 4746038223517472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48713641) 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, 383509 + ... + 383635.

Almost surely, 248713644 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 48713644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114880).

48713644 is an abundant number, since it is smaller than the sum of its proper divisors (57516116).

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

48713644 is a wasteful number, since it uses less digits than its factorization.

48713644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 48713644 is about 6979.5160290668. The cubic root of 48713644 is about 365.2163451258.

It can be divided in two parts, 4871 and 3644, that added together give a triangular number (8515 = T130).

The spelling of 48713644 in words is "forty-eight million, seven hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 103 127 133 196 206 254 266 412 508 532 721 889 931 1442 1778 1862 1957 2413 2884 3556 3724 3914 4826 5047 6223 7828 9652 10094 12446 13081 13699 16891 20188 24892 26162 27398 33782 52324 54796 67564 91567 95893 118237 183134 191786 236474 248539 366268 383572 472948 497078 640969 994156 1281938 1739773 2563876 3479546 6959092 12178411 24356822 48713644