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85203552 = 2537259307
BaseRepresentation
bin1010001010000…
…01101001100000
312221022210022010
411011001221200
5133303003202
612242112520
72053134600
oct505015140
9187283263
1085203552
1144105765
122464b740
1314862a05
14b45cc00
15773076c
hex5141a60

85203552 has 144 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 23853312.

The previous prime is 85203551. The next prime is 85203553. The reversal of 85203552 is 25530258.

It is an interprime number because it is at equal distance from previous prime (85203551) and next prime (85203553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85203551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277383 + ... + 277689.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 285203552 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 85203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

85203552 is an abundant number, since it is smaller than the sum of its proper divisors (180243168).

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

85203552 is a wasteful number, since it uses less digits than its factorization.

85203552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 85203552 is about 9230.5770133833. The cubic root of 85203552 is about 440.0336613366.

The spelling of 85203552 in words is "eighty-five million, two hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 59 84 96 98 112 118 147 168 177 196 224 236 294 307 336 354 392 413 472 588 614 672 708 784 826 921 944 1176 1228 1239 1416 1568 1652 1842 1888 2149 2352 2456 2478 2832 2891 3304 3684 4298 4704 4912 4956 5664 5782 6447 6608 7368 8596 8673 9824 9912 11564 12894 13216 14736 15043 17192 17346 18113 19824 23128 25788 29472 30086 34384 34692 36226 39648 45129 46256 51576 54339 60172 68768 69384 72452 90258 92512 103152 108678 120344 126791 138768 144904 180516 206304 217356 240688 253582 277536 289808 361032 380373 434712 481376 507164 579616 722064 760746 869424 887537 1014328 1444128 1521492 1738848 1775074 2028656 2662611 3042984 3550148 4057312 5325222 6085968 7100296 10650444 12171936 14200592 21300888 28401184 42601776 85203552