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47605152 = 253770841
BaseRepresentation
bin1011010110011…
…0010110100000
310022120120222210
42311212112200
544141331102
64420202120
71115431350
oct265462640
9108516883
1047605152
1124965501
1213b39340
139b2a33a
146472b60
1542a536c
hex2d665a0

47605152 has 48 divisors (see below), whose sum is σ = 142817472. Its totient is φ = 13601280.

The previous prime is 47605133. The next prime is 47605157. The reversal of 47605152 is 25150674.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (47605157) 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, 34749 + ... + 36092.

It is an arithmetic number, because the mean of its divisors is an integer number (2975364).

Almost surely, 247605152 is an apocalyptic number.

47605152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47605152 is an abundant number, since it is smaller than the sum of its proper divisors (95212320).

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

47605152 is a wasteful number, since it uses less digits than its factorization.

47605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70861 (or 70853 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 47605152 is about 6899.6486867086. The cubic root of 47605152 is about 362.4248646497.

The spelling of 47605152 in words is "forty-seven million, six hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 70841 141682 212523 283364 425046 495887 566728 850092 991774 1133456 1487661 1700184 1983548 2266912 2975322 3400368 3967096 5950644 6800736 7934192 11901288 15868384 23802576 47605152