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47699106 = 23713199439
BaseRepresentation
bin1011010111110…
…1010010100010
310022202100212120
42311331102202
544202332411
64422205110
71116302310
oct265752242
9108670776
1047699106
1124a1a054
1213b83796
139b61030
1464990b0
1542c3106
hex2d7d4a2

47699106 has 64 divisors (see below), whose sum is σ = 118272000. Its totient is φ = 12488256.

The previous prime is 47699089. The next prime is 47699107. The reversal of 47699106 is 60199674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47699107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108435 + ... + 108873.

It is an arithmetic number, because the mean of its divisors is an integer number (1848000).

Almost surely, 247699106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47699106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136000).

47699106 is an abundant number, since it is smaller than the sum of its proper divisors (70572894).

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

47699106 is a wasteful number, since it uses less digits than its factorization.

47699106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 47699106 is about 6906.4539381654. The cubic root of 47699106 is about 362.6631364020.

It can be divided in two parts, 47 and 699106, that added together give a triangular number (699153 = T1182).

The spelling of 47699106 in words is "forty-seven million, six hundred ninety-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 199 273 398 439 546 597 878 1194 1317 1393 2587 2634 2786 3073 4179 5174 5707 6146 7761 8358 9219 11414 15522 17121 18109 18438 34242 36218 39949 54327 79898 87361 108654 119847 174722 239694 262083 524166 611527 1135693 1223054 1834581 2271386 3407079 3669162 6814158 7949851 15899702 23849553 47699106