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848890152 = 233311615857
BaseRepresentation
bin110010100110010…
…000100100101000
32012011100002101000
4302212100210220
53214303441102
6220122355000
730015306255
oct6246204450
92164302330
10848890152
113a61a3810
121b835ba60
13106b40086
1480a5442c
154e7d301c
hex32990928

848890152 has 128 divisors (see below), whose sum is σ = 2615011200. Its totient is φ = 252979200.

The previous prime is 848890127. The next prime is 848890157. The reversal of 848890152 is 251098848.

It is a happy number.

It is a super-2 number, since 2×8488901522 = 1441228980325166208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 848890098 and 848890107.

It is not an unprimeable number, because it can be changed into a prime (848890157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142008 + ... + 147864.

It is an arithmetic number, because the mean of its divisors is an integer number (20429775).

Almost surely, 2848890152 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 848890152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307505600).

848890152 is an abundant number, since it is smaller than the sum of its proper divisors (1766121048).

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

848890152 is a wasteful number, since it uses less digits than its factorization.

848890152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 848890152 is about 29135.7195208905. The cubic root of 848890152 is about 946.8557737886.

The spelling of 848890152 in words is "eight hundred forty-eight million, eight hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 122 132 183 198 216 244 264 297 366 396 488 549 594 671 732 792 1098 1188 1342 1464 1647 2013 2196 2376 2684 3294 4026 4392 5368 5857 6039 6588 8052 11714 12078 13176 16104 17571 18117 23428 24156 35142 36234 46856 48312 52713 64427 70284 72468 105426 128854 140568 144936 158139 193281 210852 257708 316278 357277 386562 421704 515416 579843 632556 714554 773124 1071831 1159686 1265112 1429108 1546248 1739529 2143662 2319372 2858216 3215493 3479058 3930047 4287324 4638744 6430986 6958116 7860094 8574648 9646479 11790141 12861972 13916232 15720188 19292958 23580282 25723944 31440376 35370423 38585916 47160564 70740846 77171832 94321128 106111269 141481692 212222538 282963384 424445076 848890152