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1013304544 = 25729389401
BaseRepresentation
bin111100011001011…
…100110011100000
32121121201012111221
4330121130303200
54033401221134
6244314344424
734052642440
oct7431346340
92547635457
101013304544
1147aa9077a
1224342b114
13131c17bb5
1498812120
155de5d5b4
hex3c65cce0

1013304544 has 96 divisors (see below), whose sum is σ = 2370513600. Its totient is φ = 417177600.

The previous prime is 1013304541. The next prime is 1013304553. The reversal of 1013304544 is 4454033101.

1013304544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013304541) 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, 2526744 + ... + 2527144.

It is an arithmetic number, because the mean of its divisors is an integer number (24692850).

Almost surely, 21013304544 is an apocalyptic number.

1013304544 is a gapful number since it is divisible by the number (14) 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 1013304544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185256800).

1013304544 is an abundant number, since it is smaller than the sum of its proper divisors (1357209056).

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

1013304544 is a wasteful number, since it uses less digits than its factorization.

1013304544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1013304544 is about 31832.4448322776. Note that the first 3 decimals coincide. The cubic root of 1013304544 is about 1004.4153242197.

Adding to 1013304544 its reverse (4454033101), we get a palindrome (5467337645).

The spelling of 1013304544 in words is "one billion, thirteen million, three hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 389 401 406 464 778 802 812 928 1556 1604 1624 2723 2807 3112 3208 3248 5446 5614 6224 6416 6496 10892 11228 11281 11629 12448 12832 21784 22456 22562 23258 43568 44912 45124 46516 78967 81403 87136 89824 90248 93032 155989 157934 162806 180496 186064 311978 315868 325612 360992 372128 623956 631736 651224 1091923 1247912 1263472 1302448 2183846 2495824 2526944 2604896 4367692 4523681 4991648 8735384 9047362 17470768 18094724 31665767 34941536 36189448 63331534 72378896 126663068 144757792 253326136 506652272 1013304544