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48134940 = 22357313697
BaseRepresentation
bin1011011110011…
…1101100011100
310100120111201120
42313213230130
544310304230
64435410540
71123066050
oct267475434
9110514646
1048134940
1125197547
1214153a50
139c84519
14656dc60
15435c310
hex2de7b1c

48134940 has 96 divisors (see below), whose sum is σ = 159043584. Its totient is φ = 10644480.

The previous prime is 48134927. The next prime is 48134941. The reversal of 48134940 is 4943184.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48134941) 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, 11172 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (1656704).

Almost surely, 248134940 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 48134940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79521792).

48134940 is an abundant number, since it is smaller than the sum of its proper divisors (110908644).

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

48134940 is a wasteful number, since it uses less digits than its factorization.

48134940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48134940 is about 6937.9348512364. The cubic root of 48134940 is about 363.7643586165.

The spelling of 48134940 in words is "forty-eight million, one hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 3697 4340 6510 7394 11091 13020 14788 18485 22182 25879 36970 44364 51758 55455 73940 77637 103516 110910 114607 129395 155274 221820 229214 258790 310548 343821 388185 458428 517580 573035 687642 776370 802249 1146070 1375284 1552740 1604498 1719105 2292140 2406747 3208996 3438210 4011245 4813494 6876420 8022490 9626988 12033735 16044980 24067470 48134940