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3030032992 = 25726179401
BaseRepresentation
bin1011010010011010…
…1010001001100000
321211011112121212011
42310212222021200
522201142023432
61220400042304
7135041566300
oct26446521140
97734477764
103030032992
1113154136a8
12706903394
1339399b53c
1420a5c3600
1512b027847
hexb49aa260

3030032992 has 144 divisors (see below), whose sum is σ = 7160166720. Its totient is φ = 1257984000.

The previous prime is 3030032983. The next prime is 3030033011. The reversal of 3030032992 is 2992300303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7555992 + ... + 7556392.

It is an arithmetic number, because the mean of its divisors is an integer number (49723380).

Almost surely, 23030032992 is an apocalyptic number.

3030032992 is a gapful number since it is divisible by the number (32) 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 3030032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580083360).

3030032992 is an abundant number, since it is smaller than the sum of its proper divisors (4130133728).

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

3030032992 is a wasteful number, since it uses less digits than its factorization.

3030032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 3030032992 is about 55045.7354569816. The cubic root of 3030032992 is about 1447.0463843105.

The spelling of 3030032992 in words is "three billion, thirty million, thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 79 98 112 122 158 196 224 244 316 392 401 427 488 553 632 784 802 854 976 1106 1264 1568 1604 1708 1952 2212 2528 2807 2989 3208 3416 3871 4424 4819 5614 5978 6416 6832 7742 8848 9638 11228 11956 12832 13664 15484 17696 19276 19649 22456 23912 24461 30968 31679 33733 38552 39298 44912 47824 48922 61936 63358 67466 77104 78596 89824 95648 97844 123872 126716 134932 154208 157192 171227 195688 221753 236131 253432 269864 314384 342454 391376 443506 472262 506864 539728 628768 684908 782752 887012 944524 1013728 1079456 1198589 1369816 1552271 1774024 1889048 1932419 2397178 2739632 3104542 3548048 3778096 3864838 4794356 5479264 6209084 7096096 7556192 7729676 9588712 12418168 13526933 15459352 19177424 24836336 27053866 30918704 38354848 49672672 54107732 61837408 94688531 108215464 189377062 216430928 378754124 432861856 757508248 1515016496 3030032992