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3848830080 = 27354014999
BaseRepresentation
bin1110010101101000…
…0111110010000000
3100221020020211022020
43211122013302000
530340300030310
61433525441440
7164243341644
oct34532076200
910836224266
103848830080
1116a5623007
128b4b70280
13494503164
14287242c24
15177d64170
hexe5687c80

3848830080 has 128 divisors (see below), whose sum is σ = 12301200000. Its totient is φ = 1023590400.

The previous prime is 3848830067. The next prime is 3848830087. The reversal of 3848830080 is 800388483.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3848830087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767421 + ... + 772419.

It is an arithmetic number, because the mean of its divisors is an integer number (96103125).

Almost surely, 23848830080 is an apocalyptic number.

3848830080 is a gapful number since it is divisible by the number (30) 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 3848830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150600000).

3848830080 is an abundant number, since it is smaller than the sum of its proper divisors (8452369920).

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

3848830080 is a wasteful number, since it uses less digits than its factorization.

3848830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 3848830080 is about 62038.9400296298. The cubic root of 3848830080 is about 1567.1464360311.

The spelling of 3848830080 in words is "three billion, eight hundred forty-eight million, eight hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 401 480 640 802 960 1203 1604 1920 2005 2406 3208 4010 4812 4999 6015 6416 8020 9624 9998 12030 12832 14997 16040 19248 19996 24060 24995 25664 29994 32080 38496 39992 48120 49990 51328 59988 64160 74985 76992 79984 96240 99980 119976 128320 149970 153984 159968 192480 199960 239952 256640 299940 319936 384960 399920 479904 599880 639872 769920 799840 959808 1199760 1599680 1919616 2004599 2399520 3199360 4009198 4799040 6013797 8018396 9598080 10022995 12027594 16036792 20045990 24055188 30068985 32073584 40091980 48110376 60137970 64147168 80183960 96220752 120275940 128294336 160367920 192441504 240551880 256588672 320735840 384883008 481103760 641471680 769766016 962207520 1282943360 1924415040 3848830080