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47869952 = 212132931
BaseRepresentation
bin1011011010011…
…1000000000000
310100002001020012
42312213000000
544223314302
64430004052
71120613354
oct266470000
9110061205
1047869952
1125026449
1214046628
139bc0a20
146501464
154308a52
hex2da7000

47869952 has 104 divisors (see below), whose sum is σ = 110087040. Its totient is φ = 20643840.

The previous prime is 47869901. The next prime is 47869957. The reversal of 47869952 is 25996874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (104).

It is a self number, because there is not a number n which added to its sum of digits gives 47869952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47869957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544177 + ... + 1544207.

Almost surely, 247869952 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 47869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55043520).

47869952 is an abundant number, since it is smaller than the sum of its proper divisors (62217088).

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

47869952 is a wasteful number, since it uses less digits than its factorization.

47869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 47869952 is about 6918.8114586250. The cubic root of 47869952 is about 363.0956093477.

The spelling of 47869952 in words is "forty-seven million, eight hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 62 64 104 116 124 128 208 232 248 256 377 403 416 464 496 512 754 806 832 899 928 992 1024 1508 1612 1664 1798 1856 1984 2048 3016 3224 3328 3596 3712 3968 4096 6032 6448 6656 7192 7424 7936 11687 12064 12896 13312 14384 14848 15872 23374 24128 25792 26624 28768 29696 31744 46748 48256 51584 53248 57536 59392 63488 93496 96512 103168 115072 118784 126976 186992 193024 206336 230144 373984 386048 412672 460288 747968 772096 825344 920576 1495936 1544192 1650688 1841152 2991872 3682304 5983744 11967488 23934976 47869952