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89539008 = 26313291237
BaseRepresentation
bin1010101011001…
…00000111000000
320020111001102120
411111210013000
5140410222013
612515044240
72135032446
oct525440700
9206431376
1089539008
11465a6a89
1225ba0680
1315720180
14bc6ab96
157cda123
hex55641c0

89539008 has 112 divisors (see below), whose sum is σ = 264139680. Its totient is φ = 26578944.

The previous prime is 89539007. The next prime is 89539013. The reversal of 89539008 is 80093598.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89539003) 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, 71766 + ... + 73002.

It is an arithmetic number, because the mean of its divisors is an integer number (2358390).

Almost surely, 289539008 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 89539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132069840).

89539008 is an abundant number, since it is smaller than the sum of its proper divisors (174600672).

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

89539008 is a wasteful number, since it uses less digits than its factorization.

89539008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 89539008 is about 9462.5053764846. The cubic root of 89539008 is about 447.3740194460.

It can be divided in two parts, 895 and 39008, that added together give a triangular number (39903 = T282).

The spelling of 89539008 in words is "eighty-nine million, five hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1237 1248 1392 1508 1856 2262 2474 2496 2784 3016 3711 4524 4948 5568 6032 7422 9048 9896 12064 14844 16081 18096 19792 24128 29688 32162 35873 36192 39584 48243 59376 64324 71746 72384 79168 96486 107619 118752 128648 143492 192972 215238 237504 257296 286984 385944 430476 466349 514592 573968 771888 860952 932698 1029184 1147936 1399047 1543776 1721904 1865396 2295872 2798094 3087552 3443808 3730792 5596188 6887616 7461584 11192376 14923168 22384752 29846336 44769504 89539008