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48348540 = 223251967211
BaseRepresentation
bin1011100001101…
…1110101111100
310100222100201200
42320123311330
544334123130
64444135500
71124645562
oct270336574
9110870650
1048348540
1125322a79
1214237590
13a02a806
1465c7a32
1543a0760
hex2e1bd7c

48348540 has 144 divisors (see below), whose sum is σ = 157422720. Its totient is φ = 11975040.

The previous prime is 48348491. The next prime is 48348581. The reversal of 48348540 is 4584384.

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

It is a junction number, because it is equal to n+sod(n) for n = 48348495 and 48348504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229035 + ... + 229245.

Almost surely, 248348540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48348540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711360).

48348540 is an abundant number, since it is smaller than the sum of its proper divisors (109074180).

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

48348540 is a wasteful number, since it uses less digits than its factorization.

48348540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 48348540 is about 6953.3114413206. The cubic root of 48348540 is about 364.3016358175.

The spelling of 48348540 in words is "forty-eight million, three hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 211 228 268 285 335 342 380 402 422 570 603 633 670 684 804 844 855 1005 1055 1140 1206 1266 1273 1340 1710 1899 2010 2110 2412 2532 2546 3015 3165 3420 3798 3819 4009 4020 4220 5092 6030 6330 6365 7596 7638 8018 9495 11457 12027 12060 12660 12730 14137 15276 16036 18990 19095 20045 22914 24054 25460 28274 36081 37980 38190 40090 42411 45828 48108 56548 57285 60135 70685 72162 76380 80180 84822 114570 120270 127233 141370 144324 169644 180405 212055 229140 240540 254466 268603 282740 360810 424110 508932 537206 636165 721620 805809 848220 1074412 1272330 1343015 1611618 2417427 2544660 2686030 3223236 4029045 4834854 5372060 8058090 9669708 12087135 16116180 24174270 48348540