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89240448 = 2731137571
BaseRepresentation
bin1010101000110…
…11001110000000
320012220212212210
411110123032000
5140321143243
612504422120
72132350143
oct524331600
9205825783
1089240448
1146412740
1225a77940
13156472cb
14bbd005a
157c7b933
hex551b380

89240448 has 128 divisors (see below), whose sum is σ = 266048640. Its totient is φ = 26265600.

The previous prime is 89240447. The next prime is 89240467. The reversal of 89240448 is 84404298.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89240441) 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 15 ways as a sum of consecutive naturals, for example, 156003 + ... + 156573.

It is an arithmetic number, because the mean of its divisors is an integer number (2078505).

Almost surely, 289240448 is an apocalyptic number.

89240448 is a gapful number since it is divisible by the number (88) 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 89240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133024320).

89240448 is an abundant number, since it is smaller than the sum of its proper divisors (176808192).

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

89240448 is a wasteful number, since it uses less digits than its factorization.

89240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 89240448 is about 9446.7162548687. The cubic root of 89240448 is about 446.8762225536.

The spelling of 89240448 in words is "eighty-nine million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 571 592 704 814 888 1056 1142 1184 1221 1408 1628 1713 1776 2112 2284 2368 2442 3256 3426 3552 4224 4568 4736 4884 6281 6512 6852 7104 9136 9768 12562 13024 13704 14208 18272 18843 19536 21127 25124 26048 27408 36544 37686 39072 42254 50248 52096 54816 63381 73088 75372 78144 84508 100496 109632 126762 150744 156288 169016 200992 219264 232397 253524 301488 338032 401984 464794 507048 602976 676064 697191 803968 929588 1014096 1205952 1352128 1394382 1859176 2028192 2411904 2704256 2788764 3718352 4056384 5577528 7436704 8112768 11155056 14873408 22310112 29746816 44620224 89240448