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48788880 = 24357113257
BaseRepresentation
bin1011101000011…
…1010110010000
310101210201202120
42322013112100
544442221010
64501414240
71131461430
oct272072620
9111721676
1048788880
11255a3898
121440a380
13a15307a
1466a02c0
15443ae70
hex2e87590

48788880 has 160 divisors (see below), whose sum is σ = 175060224. Its totient is φ = 11010048.

The previous prime is 48788879. The next prime is 48788881. The reversal of 48788880 is 8888784.

It is an interprime number because it is at equal distance from previous prime (48788879) and next prime (48788881).

It is not an unprimeable number, because it can be changed into a prime (48788881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189712 + ... + 189968.

Almost surely, 248788880 is an apocalyptic number.

48788880 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 48788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87530112).

48788880 is an abundant number, since it is smaller than the sum of its proper divisors (126271344).

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

48788880 is a wasteful number, since it uses less digits than its factorization.

48788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The square root of 48788880 is about 6984.9037215985. The cubic root of 48788880 is about 365.4042684052.

The spelling of 48788880 in words is "forty-eight million, seven hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 257 280 336 339 420 452 514 560 565 678 771 791 840 904 1028 1130 1285 1356 1542 1582 1680 1695 1799 1808 2056 2260 2373 2570 2712 3084 3164 3390 3598 3855 3955 4112 4520 4746 5140 5397 5424 6168 6328 6780 7196 7710 7910 8995 9040 9492 10280 10794 11865 12336 12656 13560 14392 15420 15820 17990 18984 20560 21588 23730 26985 27120 28784 29041 30840 31640 35980 37968 43176 47460 53970 58082 61680 63280 71960 86352 87123 94920 107940 116164 143920 145205 174246 189840 203287 215880 232328 290410 348492 406574 431760 435615 464656 580820 609861 696984 813148 871230 1016435 1161640 1219722 1393968 1626296 1742460 2032870 2323280 2439444 3049305 3252592 3484920 4065740 4878888 6098610 6969840 8131480 9757776 12197220 16262960 24394440 48788880