Search a number
-
+
48040080 = 24351131587
BaseRepresentation
bin1011011101000…
…0100010010000
310100101200121020
42313100202100
544244240310
64433355440
71122222354
oct267204220
9110350536
1048040080
1125132250
1214108b80
139c502aa
146547464
15433e170
hex2dd0890

48040080 has 160 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 11251200.

The previous prime is 48040039. The next prime is 48040081. The reversal of 48040080 is 8004084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48040080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48040081) 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, 81547 + ... + 82133.

Almost surely, 248040080 is an apocalyptic number.

48040080 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 48040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

48040080 is an abundant number, since it is smaller than the sum of its proper divisors (119949168).

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

48040080 is a wasteful number, since it uses less digits than its factorization.

48040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48040080 is about 6931.0951515615. The cubic root of 48040080 is about 363.5252434716.

The spelling of 48040080 in words is "forty-eight million, forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 587 620 660 682 744 880 930 1023 1174 1240 1320 1364 1488 1705 1761 1860 2046 2348 2480 2640 2728 2935 3410 3522 3720 4092 4696 5115 5456 5870 6457 6820 7044 7440 8184 8805 9392 10230 11740 12914 13640 14088 16368 17610 18197 19371 20460 23480 25828 27280 28176 32285 35220 36394 38742 40920 46960 51656 54591 64570 70440 72788 77484 81840 90985 96855 103312 109182 129140 140880 145576 154968 181970 193710 200167 218364 258280 272955 291152 309936 363940 387420 400334 436728 516560 545910 600501 727880 774840 800668 873456 1000835 1091820 1201002 1455760 1549680 1601336 2001670 2183640 2402004 3002505 3202672 4003340 4367280 4804008 6005010 8006680 9608016 12010020 16013360 24020040 48040080