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5448959424 = 26341516961
BaseRepresentation
bin1010001001100100…
…01000010111000000
3112001202011211010000
411010302020113000
542124413200144
62300410040000
7252013251036
oct50462102700
915052154100
105448959424
112346882957
121080a19000
1368ab82a5c
1439996c556
1521d58b769
hex144c885c0

5448959424 has 140 divisors (see below), whose sum is σ = 16261728208. Its totient is φ = 1804032000.

The previous prime is 5448959423. The next prime is 5448959431. The reversal of 5448959424 is 4249598445.

5448959424 is a `hidden beast` number, since 5 + 4 + 48 + 9 + 594 + 2 + 4 = 666.

It is a super-3 number, since 3×54489594243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5448959423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 779304 + ... + 786264.

Almost surely, 25448959424 is an apocalyptic number.

5448959424 is a gapful number since it is divisible by the number (54) 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 5448959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130864104).

5448959424 is an abundant number, since it is smaller than the sum of its proper divisors (10812768784).

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

5448959424 is a wasteful number, since it uses less digits than its factorization.

5448959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 7117 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 5448959424 is about 73817.0672947659. The cubic root of 5448959424 is about 1759.6968555025.

The spelling of 5448959424 in words is "five billion, four hundred forty-eight million, nine hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 151 162 192 216 288 302 324 432 453 576 604 648 864 906 1208 1296 1359 1728 1812 2416 2592 2718 3624 4077 4832 5184 5436 6961 7248 8154 9664 10872 12231 13922 14496 16308 20883 21744 24462 27844 28992 32616 41766 43488 48924 55688 62649 65232 83532 86976 97848 111376 125298 130464 167064 187947 195696 222752 250596 260928 334128 375894 391392 445504 501192 563841 668256 751788 782784 1002384 1051111 1127682 1336512 1503576 2004768 2102222 2255364 3007152 3153333 4009536 4204444 4510728 6014304 6306666 8408888 9021456 9459999 12028608 12613332 16817776 18042912 18919998 25226664 28379997 33635552 36085824 37839996 50453328 56759994 67271104 75679992 85139991 100906656 113519988 151359984 170279982 201813312 227039976 302719968 340559964 454079952 605439936 681119928 908159904 1362239856 1816319808 2724479712 5448959424