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252148848 = 243719127311
BaseRepresentation
bin11110000011101…
…11110001110000
3122120110111012020
433001313301300
51004022230343
641004231440
76151141560
oct1701676160
9576414166
10252148848
1111a371186
127053b580
1340315803
14256b8da0
151720ab83
hexf077c70

252148848 has 160 divisors (see below), whose sum is σ = 792330240. Its totient is φ = 67495680.

The previous prime is 252148847. The next prime is 252148859. The reversal of 252148848 is 848841252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252148847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810613 + ... + 810923.

It is an arithmetic number, because the mean of its divisors is an integer number (4952064).

Almost surely, 2252148848 is an apocalyptic number.

252148848 is a gapful number since it is divisible by the number (28) 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 252148848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396165120).

252148848 is an abundant number, since it is smaller than the sum of its proper divisors (540181392).

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

252148848 is a wasteful number, since it uses less digits than its factorization.

252148848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 252148848 is about 15879.1954456137. The cubic root of 252148848 is about 631.7602973905.

The spelling of 252148848 in words is "two hundred fifty-two million, one hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 127 133 152 168 228 254 266 304 311 336 381 399 456 508 532 622 762 798 889 912 933 1016 1064 1244 1524 1596 1778 1866 2032 2128 2177 2413 2488 2667 3048 3192 3556 3732 4354 4826 4976 5334 5909 6096 6384 6531 7112 7239 7464 8708 9652 10668 11818 13062 14224 14478 14928 16891 17416 17727 19304 21336 23636 26124 28956 33782 34832 35454 38608 39497 41363 42672 47272 50673 52248 57912 67564 70908 78994 82726 94544 101346 104496 115824 118491 124089 135128 141816 157988 165452 202692 236982 248178 270256 276479 283632 315976 330904 405384 473964 496356 552958 631952 661808 750443 810768 829437 947928 992712 1105916 1500886 1658874 1895856 1985424 2211832 2251329 3001772 3317748 4423664 4502658 5253101 6003544 6635496 9005316 10506202 12007088 13270992 15759303 18010632 21012404 31518606 36021264 42024808 63037212 84049616 126074424 252148848