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48100392 = 2335109227
BaseRepresentation
bin1011011101111…
…1010000101000
310100111202100000
42313133100220
544303203032
64434543000
71122563244
oct267372050
9110452300
1048100392
112517359a
1214137a60
139c71892
146561424
154351e7c
hex2ddf428

48100392 has 96 divisors (see below), whose sum is σ = 136936800. Its totient is φ = 15816384.

The previous prime is 48100387. The next prime is 48100397. The reversal of 48100392 is 29300184.

It is an interprime number because it is at equal distance from previous prime (48100387) and next prime (48100397).

It is a super-3 number, since 3×481003923 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48100397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211783 + ... + 212009.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 248100392 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 48100392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68468400).

48100392 is an abundant number, since it is smaller than the sum of its proper divisors (88836408).

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

48100392 is a wasteful number, since it uses less digits than its factorization.

48100392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48100392 is about 6935.4446144425. Note that the first 3 decimals coincide. The cubic root of 48100392 is about 363.6773093136.

The spelling of 48100392 in words is "forty-eight million, one hundred thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 227 243 324 327 436 454 486 648 654 681 872 908 972 981 1308 1362 1816 1944 1962 2043 2616 2724 2943 3924 4086 5448 5886 6129 7848 8172 8829 11772 12258 16344 17658 18387 23544 24516 24743 26487 35316 36774 49032 49486 52974 55161 70632 73548 74229 98972 105948 110322 147096 148458 197944 211896 220644 222687 296916 441288 445374 593832 668061 890748 1336122 1781496 2004183 2672244 4008366 5344488 6012549 8016732 12025098 16033464 24050196 48100392