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47966982 = 23721931277
BaseRepresentation
bin1011011011111…
…0101100000110
310100020222022220
42312332230012
544234420412
64432033210
71121466300
oct266765406
9110228286
1047966982
1125092338
1214092806
139c25c3b
146528970
15432768c
hex2dbeb06

47966982 has 96 divisors (see below), whose sum is σ = 121697280. Its totient is φ = 12519360.

The previous prime is 47966959. The next prime is 47966987. The reversal of 47966982 is 28966974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47966987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173028 + ... + 173304.

It is an arithmetic number, because the mean of its divisors is an integer number (1267680).

Almost surely, 247966982 is an apocalyptic number.

47966982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47966982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60848640).

47966982 is an abundant number, since it is smaller than the sum of its proper divisors (73730298).

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

47966982 is a wasteful number, since it uses less digits than its factorization.

47966982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 47966982 is about 6925.8199514570. The cubic root of 47966982 is about 363.3407693304.

The spelling of 47966982 in words is "forty-seven million, nine hundred sixty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 49 57 62 93 98 114 133 147 186 217 266 277 294 399 434 554 589 651 798 831 931 1178 1302 1519 1662 1767 1862 1939 2793 3038 3534 3878 4123 4557 5263 5586 5817 8246 8587 9114 10526 11634 12369 13573 15789 17174 24738 25761 27146 28861 31578 36841 40719 51522 57722 60109 73682 81438 86583 110523 120218 163153 173166 180327 221046 257887 326306 360654 420763 489459 515774 773661 841526 978918 1142071 1262289 1547322 2284142 2524578 3426213 6852426 7994497 15988994 23983491 47966982