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48855807 = 327112131729
BaseRepresentation
bin1011101001011…
…1101011111111
310101221010120100
42322113223333
5100001341212
64503052143
71132160520
oct272275377
9111833510
1048855807
112563a100
1214441053
13a177680
1466ba847
154450bdc
hex2e97aff

48855807 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 21288960.

The previous prime is 48855791. The next prime is 48855811. The reversal of 48855807 is 70855884.

It is not a de Polignac number, because 48855807 - 24 = 48855791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48855847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1684669 + ... + 1684697.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 248855807 is an apocalyptic number.

48855807 is an abundant number, since it is smaller than the sum of its proper divisors (55714113).

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

48855807 is a wasteful number, since it uses less digits than its factorization.

48855807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 48855807 is about 6989.6929117094. The cubic root of 48855807 is about 365.5712752970.

The spelling of 48855807 in words is "forty-eight million, eight hundred fifty-five thousand, eight hundred seven".

Divisors: 1 3 7 9 11 13 17 21 29 33 39 51 63 77 87 91 99 117 119 121 143 153 187 203 221 231 261 273 319 357 363 377 429 493 561 609 663 693 819 847 957 1001 1071 1089 1131 1287 1309 1479 1547 1573 1683 1827 1989 2057 2233 2431 2541 2639 2871 3003 3393 3451 3509 3927 4147 4437 4641 4719 5423 6171 6409 6699 7293 7623 7917 9009 10353 10527 11011 11781 12441 13923 14157 14399 16269 17017 18513 19227 20097 21879 23751 24563 26741 29029 31059 31581 33033 37323 37961 43197 44863 45617 48807 51051 57681 59653 70499 73689 80223 87087 99099 113883 129591 134589 136851 153153 178959 187187 211497 221067 240669 261261 319319 341649 403767 410553 417571 493493 536877 561561 634491 775489 957957 1252713 1480479 1684683 2326467 2873871 3758139 4441437 5428423 6979401 16285269 48855807