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47977974 = 2331137259
BaseRepresentation
bin1011011100000…
…1010111110110
310100021112102000
42313001113312
544240243344
64432200130
71121543322
oct267012766
9110245360
1047977974
112509a620
1214099046
139c2ac45
14652c982
15432aa69
hex2dc15f6

47977974 has 96 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 13906080.

The previous prime is 47977967. The next prime is 47977991.

47977974 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3111696) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 47977974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813157 + ... + 813215.

It is an arithmetic number, because the mean of its divisors is an integer number (1266300).

Almost surely, 247977974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47977974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60782400).

47977974 is an abundant number, since it is smaller than the sum of its proper divisors (73586826).

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

47977974 is a wasteful number, since it uses less digits than its factorization.

47977974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 47977974 is about 6926.6134582493. The cubic root of 47977974 is about 363.3685213140.

The spelling of 47977974 in words is "forty-seven million, nine hundred seventy-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 59 66 74 99 111 118 177 198 222 297 333 354 407 531 594 649 666 814 999 1062 1221 1298 1369 1593 1947 1998 2183 2442 2738 3186 3663 3894 4107 4366 5841 6549 7326 8214 10989 11682 12321 13098 15059 17523 19647 21978 24013 24642 30118 35046 36963 39294 45177 48026 58941 72039 73926 80771 90354 117882 135531 144078 161542 216117 242313 271062 406593 432234 484626 648351 726939 813186 888481 1296702 1453878 1776962 2180817 2665443 4361634 5330886 7996329 15992658 23988987 47977974