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48208770 = 236517389
BaseRepresentation
bin1011011111100…
…1101110000010
310100201021000000
42313321232002
544320140040
64441140430
71123524231
oct267715602
9110637000
1048208770
1125237a65
121418a716
139cabccc
14658cb18
154374130
hex2df9b82

48208770 has 112 divisors (see below), whose sum is σ = 138111480. Its totient is φ = 12068352.

The previous prime is 48208763. The next prime is 48208777. The reversal of 48208770 is 7780284.

It is an interprime number because it is at equal distance from previous prime (48208763) and next prime (48208777).

It can be written as a sum of positive squares in 4 ways, for example, as 38900169 + 9308601 = 6237^2 + 3051^2 .

It is not an unprimeable number, because it can be changed into a prime (48208777) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 123736 + ... + 124124.

Almost surely, 248208770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48208770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69055740).

48208770 is an abundant number, since it is smaller than the sum of its proper divisors (89902710).

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

48208770 is a wasteful number, since it uses less digits than its factorization.

48208770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 48208770 is about 6943.2535601114. The cubic root of 48208770 is about 363.9502457858.

The spelling of 48208770 in words is "forty-eight million, two hundred eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 389 405 459 486 510 729 765 778 810 918 1167 1215 1377 1458 1530 1945 2295 2334 2430 2754 3501 3645 3890 4131 4590 5835 6613 6885 7002 7290 8262 10503 11670 12393 13226 13770 17505 19839 20655 21006 24786 31509 33065 35010 39678 41310 52515 59517 61965 63018 66130 94527 99195 105030 119034 123930 157545 178551 189054 198390 283581 297585 315090 357102 472635 535653 567162 595170 892755 945270 1071306 1417905 1606959 1785510 2678265 2835810 3213918 4820877 5356530 8034795 9641754 16069590 24104385 48208770