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4832048380 = 22517234713147
BaseRepresentation
bin1001000000000001…
…10011010011111100
3110110202100111020211
410200000303103330
534344001022010
62115251322204
7230512506415
oct44000632374
913422314224
104832048380
11205a624515
12b2a2b0364
135c0115a33
1433ba6280c
151d432d08a
hex1200334fc

4832048380 has 96 divisors (see below), whose sum is σ = 11450750976. Its totient is φ = 1702880256.

The previous prime is 4832048369. The next prime is 4832048381. The reversal of 4832048380 is 838402384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4832048381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360967 + ... + 374113.

It is an arithmetic number, because the mean of its divisors is an integer number (119278656).

Almost surely, 24832048380 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 4832048380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725375488).

4832048380 is an abundant number, since it is smaller than the sum of its proper divisors (6618702596).

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

4832048380 is a wasteful number, since it uses less digits than its factorization.

4832048380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4832048380 is about 69512.9367815804. The cubic root of 4832048380 is about 1690.6112630748.

The spelling of 4832048380 in words is "four billion, eight hundred thirty-two million, forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 47 68 85 92 94 115 170 188 230 235 340 391 460 470 782 799 940 1081 1564 1598 1955 2162 3196 3910 3995 4324 5405 7820 7990 10810 13147 15980 18377 21620 26294 36754 52588 65735 73508 91885 131470 183770 223499 262940 302381 367540 446998 604762 617909 893996 1117495 1209524 1235818 1511905 2234990 2471636 3023810 3089545 4469980 5140477 6047620 6179090 10280954 10504453 12358180 14211907 20561908 21008906 25702385 28423814 42017812 51404770 52522265 56847628 71059535 102809540 105044530 142119070 210089060 241602419 284238140 483204838 966409676 1208012095 2416024190 4832048380