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47796896 = 257377379
BaseRepresentation
bin1011011001010…
…1001010100000
310022221100000102
42312111022200
544214000041
64424241532
71120160360
oct266251240
9108840012
1047796896
1124a86574
12140102a8
139b966b4
1464c29a0
1542e209b
hex2d952a0

47796896 has 96 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 19408896.

The previous prime is 47796883. The next prime is 47796907. The reversal of 47796896 is 69869774.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604985 + ... + 605063.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 247796896 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 47796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56689920).

47796896 is an abundant number, since it is smaller than the sum of its proper divisors (65582944).

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

47796896 is a wasteful number, since it uses less digits than its factorization.

47796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 56.

The square root of 47796896 is about 6913.5299232736. The cubic root of 47796896 is about 362.9108043540.

The spelling of 47796896 in words is "forty-seven million, seven hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 73 74 79 112 146 148 158 224 259 292 296 316 511 518 553 584 592 632 1022 1036 1106 1168 1184 1264 2044 2072 2212 2336 2528 2701 2923 4088 4144 4424 5402 5767 5846 8176 8288 8848 10804 11534 11692 16352 17696 18907 20461 21608 23068 23384 37814 40369 40922 43216 46136 46768 75628 80738 81844 86432 92272 93536 151256 161476 163688 184544 213379 302512 322952 327376 426758 605024 645904 654752 853516 1291808 1493653 1707032 2987306 3414064 5974612 6828128 11949224 23898448 47796896