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47977468 = 2273112172
BaseRepresentation
bin1011011100000…
…1001111111100
310100021111201021
42313001033330
544240234333
64432153524
71121542000
oct267011774
9110244637
1047977468
112509a200
12140988a4
139c2a946
14652c700
15432a82d
hex2dc13fc

47977468 has 108 divisors (see below), whose sum is σ = 114326800. Its totient is φ = 17592960.

The previous prime is 47977463. The next prime is 47977477. The reversal of 47977468 is 86477974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47977463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2822196 + ... + 2822212.

Almost surely, 247977468 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 47977468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57163400).

47977468 is an abundant number, since it is smaller than the sum of its proper divisors (66349332).

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

47977468 is a wasteful number, since it uses less digits than its factorization.

47977468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 37 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The square root of 47977468 is about 6926.5769323671. The cubic root of 47977468 is about 363.3672438868.

The spelling of 47977468 in words is "forty-seven million, nine hundred seventy-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 121 154 187 196 238 242 289 308 343 374 476 484 539 578 686 748 833 847 1078 1156 1309 1372 1666 1694 2023 2057 2156 2618 3179 3332 3388 3773 4046 4114 5236 5831 5929 6358 7546 8092 8228 9163 11662 11858 12716 14161 14399 15092 18326 22253 23324 23716 28322 28798 34969 36652 41503 44506 56644 57596 64141 69938 83006 89012 99127 100793 128282 139876 155771 166012 198254 201586 244783 256564 311542 396508 403172 489566 623084 705551 979132 1090397 1411102 1713481 2180794 2822204 3426962 4361588 6853924 11994367 23988734 47977468