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47968998 = 2371129439
BaseRepresentation
bin1011011011111…
…1001011100110
310100021002002120
42312333023212
544240001443
64432050410
71121505210
oct266771346
9110232076
1047968998
1125093900
1214093a06
139c26b2c
1465295b0
154328083
hex2dbf2e6

47968998 has 48 divisors (see below), whose sum is σ = 120529920. Its totient is φ = 12458160.

The previous prime is 47968993. The next prime is 47969017. The reversal of 47968998 is 89986974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47968993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (2511040).

Almost surely, 247968998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47968998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264960).

47968998 is an abundant number, since it is smaller than the sum of its proper divisors (72560922).

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

47968998 is a wasteful number, since it uses less digits than its factorization.

47968998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9462 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 47968998 is about 6925.9654922617. The cubic root of 47968998 is about 363.3458595313.

The spelling of 47968998 in words is "forty-seven million, nine hundred sixty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 9439 18878 28317 56634 66073 103829 132146 198219 207658 311487 396438 622974 726803 1142119 1453606 2180409 2284238 3426357 4360818 6852714 7994833 15989666 23984499 47968998