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96648825 = 3527313172
BaseRepresentation
bin1011100001010…
…11111001111001
320201212021021010
411300223321321
5144220230300
613331304133
72252334000
oct560537171
9221767233
1096648825
114a612769
122844b049
131703c370
14cb9bc37
158741a50
hex5c2be79

96648825 has 144 divisors (see below), whose sum is σ = 213180800. Its totient is φ = 38384640.

The previous prime is 96648823. The next prime is 96648833. The reversal of 96648825 is 52884669.

It is a happy number.

It is not a de Polignac number, because 96648825 - 21 = 96648823 is a prime.

Its product of digits (829440) is a multiple of the sum of its prime divisors (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96648823) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5685217 + ... + 5685233.

Almost surely, 296648825 is an apocalyptic number.

It is an amenable number.

96648825 is an abundant number, since it is smaller than the sum of its proper divisors (116531975).

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

96648825 is a wasteful number, since it uses less digits than its factorization.

96648825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 96648825 is about 9831.0134269057. The cubic root of 96648825 is about 458.9149362256.

The spelling of 96648825 in words is "ninety-six million, six hundred forty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 49 51 65 75 85 91 105 119 147 175 195 221 245 255 273 289 325 343 357 425 455 525 595 637 663 735 833 867 975 1029 1105 1225 1275 1365 1445 1547 1715 1785 1911 2023 2275 2499 2975 3185 3315 3675 3757 4165 4335 4459 4641 5145 5525 5831 6069 6825 7225 7735 8575 8925 9555 10115 10829 11271 12495 13377 14161 15925 16575 17493 18785 20825 21675 22295 23205 25725 26299 29155 30345 32487 38675 42483 47775 50575 54145 56355 62475 66885 70805 75803 78897 87465 93925 99127 111475 116025 131495 145775 151725 162435 184093 212415 227409 270725 281775 297381 334425 354025 379015 394485 437325 495635 552279 657475 812175 920465 1062075 1137045 1288651 1486905 1895075 1972425 2478175 2761395 3865953 4602325 5685225 6443255 7434525 13806975 19329765 32216275 96648825