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48488340 = 223531131199
BaseRepresentation
bin1011100011110…
…1111110010100
310101020110111110
42320331332110
544403111330
64451135020
71126100265
oct270757624
9111213443
1048488340
112540900a
12142a4470
13a079334
14662296c
1543cbdb0
hex2e3df94

48488340 has 96 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 12355200.

The previous prime is 48488303. The next prime is 48488353. The reversal of 48488340 is 4388484.

It is a super-2 number, since 2×484883402 = 4702238231911200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243561 + ... + 243759.

It is an arithmetic number, because the mean of its divisors is an integer number (1478400).

Almost surely, 248488340 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 48488340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

48488340 is an abundant number, since it is smaller than the sum of its proper divisors (93438060).

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

48488340 is a wasteful number, since it uses less digits than its factorization.

48488340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 48488340 is about 6963.3569490584. The cubic root of 48488340 is about 364.6524244860.

It can be divided in two parts, 48488 and 340, that added together give a triangular number (48828 = T312).

The spelling of 48488340 in words is "forty-eight million, four hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 131 155 186 199 262 310 372 393 398 465 524 597 620 655 786 796 930 995 1194 1310 1572 1860 1965 1990 2388 2620 2985 3930 3980 4061 5970 6169 7860 8122 11940 12183 12338 16244 18507 20305 24366 24676 26069 30845 37014 40610 48732 52138 60915 61690 74028 78207 81220 92535 104276 121830 123380 130345 156414 185070 243660 260690 312828 370140 391035 521380 782070 808139 1564140 1616278 2424417 3232556 4040695 4848834 8081390 9697668 12122085 16162780 24244170 48488340