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49476042 = 23371173163
BaseRepresentation
bin1011110010111…
…1000111001010
310110002122101000
42330233013022
5100131213132
64524235430
71140353010
oct274570712
9113078330
1049476042
1125a230a0
121469bb76
13a333a85
1467dc8b0
15452487c
hex2f2f1ca

49476042 has 128 divisors (see below), whose sum is σ = 139806720. Its totient is φ = 12597120.

The previous prime is 49476029. The next prime is 49476047. The reversal of 49476042 is 24067494.

49476042 is a `hidden beast` number, since 4 + 9 + 47 + 604 + 2 = 666.

It is a super-3 number, since 3×494760423 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49475988 and 49476006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49476047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303453 + ... + 303615.

It is an arithmetic number, because the mean of its divisors is an integer number (1092240).

Almost surely, 249476042 is an apocalyptic number.

49476042 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 49476042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69903360).

49476042 is an abundant number, since it is smaller than the sum of its proper divisors (90330678).

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

49476042 is a wasteful number, since it uses less digits than its factorization.

49476042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49476042 is about 7033.9208127473. The cubic root of 49476042 is about 367.1117766180. Note that the first 3 decimals are identical.

The spelling of 49476042 in words is "forty-nine million, four hundred seventy-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 73 77 99 126 146 154 163 189 198 219 231 297 326 378 438 462 489 511 594 657 693 803 978 1022 1141 1314 1386 1467 1533 1606 1793 1971 2079 2282 2409 2934 3066 3423 3586 3942 4158 4401 4599 4818 5379 5621 6846 7227 8802 9198 10269 10758 11242 11899 12551 13797 14454 16137 16863 20538 21681 23798 25102 27594 30807 32274 33726 35697 37653 43362 48411 50589 61614 71394 75306 83293 96822 101178 107091 112959 130889 151767 166586 214182 225918 249879 261778 303534 321273 338877 392667 499758 642546 677754 749637 785334 916223 1178001 1499274 1832446 2248911 2356002 2748669 3534003 4497822 5497338 7068006 8246007 16492014 24738021 49476042