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48797760 = 2635114621
BaseRepresentation
bin1011101000100…
…1100001000000
310101211011221110
42322021201000
544443012020
64501523320
71131526344
oct272114100
9111734843
1048797760
11255aa530
1214413540
13a15711b
1466a3624
15443d8e0
hex2e89840

48797760 has 112 divisors (see below), whose sum is σ = 169054272. Its totient is φ = 11827200.

The previous prime is 48797753. The next prime is 48797761. The reversal of 48797760 is 6779784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48797761) 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, 8250 + ... + 12870.

Almost surely, 248797760 is an apocalyptic number.

48797760 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 48797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527136).

48797760 is an abundant number, since it is smaller than the sum of its proper divisors (120256512).

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

48797760 is a wasteful number, since it uses less digits than its factorization.

48797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 48797760 is about 6985.5393492557. The cubic root of 48797760 is about 365.4264359774.

The spelling of 48797760 in words is "forty-eight million, seven hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 4621 5280 9242 10560 13863 18484 23105 27726 36968 46210 50831 55452 69315 73936 92420 101662 110904 138630 147872 152493 184840 203324 221808 254155 277260 295744 304986 369680 406648 443616 508310 554520 609972 739360 762465 813296 887232 1016620 1109040 1219944 1478720 1524930 1626592 2033240 2218080 2439888 3049860 3253184 4066480 4436160 4879776 6099720 8132960 9759552 12199440 16265920 24398880 48797760