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48752280 = 2334541367
BaseRepresentation
bin1011100111111…
…0011010011000
310101201212120000
42321332122120
544440033110
64500533000
71131246633
oct271763230
9111655500
1048752280
1125579345
12143b1160
13a13c505
146690c1a
1544301c0
hex2e7e698

48752280 has 160 divisors (see below), whose sum is σ = 168315840. Its totient is φ = 12648960.

The previous prime is 48752279. The next prime is 48752281. The reversal of 48752280 is 8225784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48752279) and next prime (48752281).

It is a super-3 number, since 3×487522803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48752281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132657 + ... + 133023.

It is an arithmetic number, because the mean of its divisors is an integer number (1051974).

Almost surely, 248752280 is an apocalyptic number.

48752280 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 48752280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84157920).

48752280 is an abundant number, since it is smaller than the sum of its proper divisors (119563560).

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

48752280 is a wasteful number, since it uses less digits than its factorization.

48752280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48752280 is about 6982.2832941667. The cubic root of 48752280 is about 365.3128736596.

The spelling of 48752280 in words is "forty-eight million, seven hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 367 369 405 410 492 540 615 648 734 738 810 820 984 1080 1101 1107 1230 1468 1476 1620 1640 1835 1845 2202 2214 2460 2936 2952 3240 3303 3321 3670 3690 4404 4428 4920 5505 5535 6606 6642 7340 7380 8808 8856 9909 11010 11070 13212 13284 14680 14760 15047 16515 16605 19818 22020 22140 26424 26568 29727 30094 33030 33210 39636 44040 44280 45141 49545 59454 60188 66060 66420 75235 79272 90282 99090 118908 120376 132120 132840 135423 148635 150470 180564 198180 225705 237816 270846 297270 300940 361128 396360 406269 451410 541692 594540 601880 677115 812538 902820 1083384 1189080 1218807 1354230 1625076 1805640 2031345 2437614 2708460 3250152 4062690 4875228 5416920 6094035 8125380 9750456 12188070 16250760 24376140 48752280