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89147072 = 267331131
BaseRepresentation
bin1010101000001…
…00011011000000
320012202010210102
411110010123000
5140310201242
612502421532
72131511000
oct524043300
9205663712
1089147072
1146359573
1225a318a8
1315613961
14bba8000
157c5de32
hex55046c0

89147072 has 112 divisors (see below), whose sum is σ = 214579200. Its totient is φ = 36691200.

The previous prime is 89147033. The next prime is 89147081. The reversal of 89147072 is 27074198.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680447 + ... + 680577.

Almost surely, 289147072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107289600).

89147072 is an abundant number, since it is smaller than the sum of its proper divisors (125432128).

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

89147072 is a wasteful number, since it uses less digits than its factorization.

89147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 89147072 is about 9441.7727149090. The cubic root of 89147072 is about 446.7203064217.

The spelling of 89147072 in words is "eighty-nine million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 131 196 217 224 248 262 343 392 434 448 496 524 686 784 868 917 992 1048 1372 1519 1568 1736 1834 1984 2096 2744 3038 3136 3472 3668 4061 4192 5488 6076 6419 6944 7336 8122 8384 10633 10976 12152 12838 13888 14672 16244 21266 21952 24304 25676 28427 29344 32488 42532 44933 48608 51352 56854 58688 64976 85064 89866 97216 102704 113708 129952 170128 179732 198989 205408 227416 259904 340256 359464 397978 410816 454832 680512 718928 795956 909664 1392923 1437856 1591912 1819328 2785846 2875712 3183824 5571692 6367648 11143384 12735296 22286768 44573536 89147072