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48116040 = 233574167
BaseRepresentation
bin1011011110001…
…1000101001000
310100112112210120
42313203011020
544304203130
64435143240
71122660000
oct267430510
9110475716
1048116040
1125184325
1214144b20
139c78a3b
146567000
154356910
hex2de3148

48116040 has 160 divisors (see below), whose sum is σ = 169404480. Its totient is φ = 10932096.

The previous prime is 48116027. The next prime is 48116053. The reversal of 48116040 is 4061184.

It is an interprime number because it is at equal distance from previous prime (48116027) and next prime (48116053).

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

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 48116040.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288037 + ... + 288203.

It is an arithmetic number, because the mean of its divisors is an integer number (1058778).

Almost surely, 248116040 is an apocalyptic number.

48116040 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 48116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84702240).

48116040 is an abundant number, since it is smaller than the sum of its proper divisors (121288440).

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

48116040 is a wasteful number, since it uses less digits than its factorization.

48116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48116040 is about 6936.5726407211. The cubic root of 48116040 is about 363.7167421560.

The spelling of 48116040 in words is "forty-eight million, one hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 167 168 196 210 245 280 294 334 343 392 420 490 501 588 668 686 735 835 840 980 1002 1029 1169 1176 1336 1372 1470 1670 1715 1960 2004 2058 2338 2401 2505 2744 2940 3340 3430 3507 4008 4116 4676 4802 5010 5145 5845 5880 6680 6860 7014 7203 8183 8232 9352 9604 10020 10290 11690 12005 13720 14028 14406 16366 17535 19208 20040 20580 23380 24010 24549 28056 28812 32732 35070 36015 40915 41160 46760 48020 49098 57281 57624 65464 70140 72030 81830 96040 98196 114562 122745 140280 144060 163660 171843 196392 229124 245490 286405 288120 327320 343686 400967 458248 490980 572810 687372 801934 859215 981960 1145620 1202901 1374744 1603868 1718430 2004835 2291240 2405802 3207736 3436860 4009670 4811604 6014505 6873720 8019340 9623208 12029010 16038680 24058020 48116040