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97609536 = 263419991
BaseRepresentation
bin1011101000101…
…10011101000000
320210200002010000
411310112131000
5144442001121
613404040000
72263444623
oct564263500
9223602100
1097609536
1150109542
1228833000
13172b772b
14cd6bdba
158881526
hex5d16740

97609536 has 140 divisors (see below), whose sum is σ = 304881280. Its totient is φ = 30792960.

The previous prime is 97609507. The next prime is 97609543. The reversal of 97609536 is 63590679.

97609536 is a `hidden beast` number, since 9 + 7 + 609 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97609491 and 97609500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98001 + ... + 98991.

Almost surely, 297609536 is an apocalyptic number.

97609536 is a gapful number since it is divisible by the number (96) 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 97609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152440640).

97609536 is an abundant number, since it is smaller than the sum of its proper divisors (207271744).

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

97609536 is a wasteful number, since it uses less digits than its factorization.

97609536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 97609536 is about 9879.7538430874. The cubic root of 97609536 is about 460.4304980573.

The spelling of 97609536 in words is "ninety-seven million, six hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 991 1026 1216 1296 1368 1539 1728 1824 1982 2052 2592 2736 2973 3078 3648 3964 4104 5184 5472 5946 6156 7928 8208 8919 10944 11892 12312 15856 16416 17838 18829 23784 24624 26757 31712 32832 35676 37658 47568 49248 53514 56487 63424 71352 75316 80271 95136 98496 107028 112974 142704 150632 160542 169461 190272 214056 225948 285408 301264 321084 338922 428112 451896 508383 570816 602528 642168 677844 856224 903792 1016766 1205056 1284336 1355688 1525149 1712448 1807584 2033532 2568672 2711376 3050298 3615168 4067064 5137344 5422752 6100596 8134128 10845504 12201192 16268256 24402384 32536512 48804768 97609536