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48830040 = 2334572153
BaseRepresentation
bin1011101001000…
…1011001011000
310101212211020000
42322101121120
5100000030130
64502333000
71132022430
oct272213130
9111784200
1048830040
1125621806
121442a160
13a168a1c
1466b12c0
154448260
hex2e91658

48830040 has 160 divisors (see below), whose sum is σ = 187656480. Its totient is φ = 11155968.

The previous prime is 48830027. The next prime is 48830059. The reversal of 48830040 is 4003884.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48829986 and 48830013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21604 + ... + 23756.

It is an arithmetic number, because the mean of its divisors is an integer number (1172853).

Almost surely, 248830040 is an apocalyptic number.

48830040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48830040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93828240).

48830040 is an abundant number, since it is smaller than the sum of its proper divisors (138826440).

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

48830040 is a wasteful number, since it uses less digits than its factorization.

48830040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48830040 is about 6987.8494545890. The cubic root of 48830040 is about 365.5069954490.

The spelling of 48830040 in words is "forty-eight million, eight hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2153 2268 2520 2835 3240 3780 4306 4536 5670 6459 7560 8612 10765 11340 12918 15071 17224 19377 21530 22680 25836 30142 32295 38754 43060 45213 51672 58131 60284 64590 75355 77508 86120 90426 96885 116262 120568 129180 135639 150710 155016 174393 180852 193770 226065 232524 258360 271278 290655 301420 348786 361704 387540 406917 452130 465048 542556 581310 602840 678195 697572 775080 813834 871965 904260 1085112 1162620 1220751 1356390 1395144 1627668 1743930 1808520 2034585 2325240 2441502 2712780 3255336 3487860 4069170 4883004 5425560 6103755 6975720 8138340 9766008 12207510 16276680 24415020 48830040