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47869056 = 273919
BaseRepresentation
bin1011011010011…
…0110010000000
310100002000000000
42312212302000
544223302211
64430000000
71120610634
oct266466200
9110060000
1047869056
1125025804
1214046000
139bc04b1
146500dc4
154308656
hex2da6c80

47869056 has 160 divisors (see below), whose sum is σ = 150572400. Its totient is φ = 15116544.

The previous prime is 47869043. The next prime is 47869057. The reversal of 47869056 is 65096874.

It is a super-2 number, since 2×478690562 = 4582893044662272, which contains 22 as substring.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (47869057) 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 19 ways as a sum of consecutive naturals, for example, 2519415 + ... + 2519433.

Almost surely, 247869056 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 47869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75286200).

47869056 is an abundant number, since it is smaller than the sum of its proper divisors (102703344).

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

47869056 is an frugal number, since it uses more digits than its factorization.

47869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47869056 is about 6918.7467073163. The cubic root of 47869056 is about 363.0933439343.

The spelling of 47869056 in words is "forty-seven million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 288 304 324 342 384 432 456 486 513 576 608 648 684 729 864 912 972 1026 1152 1216 1296 1368 1458 1539 1728 1824 1944 2052 2187 2432 2592 2736 2916 3078 3456 3648 3888 4104 4374 4617 5184 5472 5832 6156 6561 7296 7776 8208 8748 9234 10368 10944 11664 12312 13122 13851 15552 16416 17496 18468 19683 21888 23328 24624 26244 27702 31104 32832 34992 36936 39366 41553 46656 49248 52488 55404 65664 69984 73872 78732 83106 93312 98496 104976 110808 124659 139968 147744 157464 166212 196992 209952 221616 249318 279936 295488 314928 332424 373977 419904 443232 498636 590976 629856 664848 747954 839808 886464 997272 1259712 1329696 1495908 1772928 1994544 2519424 2659392 2991816 3989088 5318784 5983632 7978176 11967264 15956352 23934528 47869056