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96269472 = 2534132857
BaseRepresentation
bin1011011110011…
…11010010100000
320201010222220000
411233033102200
5144121110342
613315220000
72246164005
oct557172240
9221128800
1096269472
114a383752
12282a7600
1316c387b0
14cadd8ac
1586b944c
hex5bcf4a0

96269472 has 120 divisors (see below), whose sum is σ = 305011476. Its totient is φ = 29611008.

The previous prime is 96269461. The next prime is 96269507. The reversal of 96269472 is 27496269.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 1089936 = 9756^2 + 1044^2 .

It is a super-2 number, since 2×962694722 = 18535622478317568, which contains 22 as substring.

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, 32268 + ... + 35124.

Almost surely, 296269472 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 96269472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152505738).

96269472 is an abundant number, since it is smaller than the sum of its proper divisors (208742004).

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

96269472 is a wasteful number, since it uses less digits than its factorization.

96269472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2875 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96269472 is about 9811.7007699991. The cubic root of 96269472 is about 458.3137251630.

The spelling of 96269472 in words is "ninety-six million, two hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 2857 3744 4212 5616 5714 8424 8571 11232 11428 16848 17142 22856 25713 33696 34284 37141 45712 51426 68568 74282 77139 91424 102852 111423 137136 148564 154278 205704 222846 231417 274272 297128 308556 334269 411408 445692 462834 594256 617112 668538 822816 891384 925668 1002807 1188512 1234224 1337076 1782768 1851336 2005614 2468448 2674152 3008421 3565536 3702672 4011228 5348304 6016842 7405344 8022456 10696608 12033684 16044912 24067368 32089824 48134736 96269472