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47119968 = 25347353
BaseRepresentation
bin1011001110111…
…1111001100000
310021122221110000
42303233321200
544030314333
64401540000
71111341000
oct263577140
9107587400
1047119968
1124663a25
1213944600
1399ba54c
146388000
15420b713
hex2cefe60

47119968 has 240 divisors, whose sum is σ = 164656800. Its totient is φ = 13208832.

The previous prime is 47119951. The next prime is 47120053. The reversal of 47119968 is 86991174.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (108864) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889030 + ... + 889082.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 247119968 is an apocalyptic number.

47119968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328400).

47119968 is an abundant number, since it is smaller than the sum of its proper divisors (117536832).

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

47119968 is an equidigital number, since it uses as much as digits as its factorization.

47119968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 47119968 is about 6864.3985898256. The cubic root of 47119968 is about 361.1893993644.

The spelling of 47119968 in words is "forty-seven million, one hundred nineteen thousand, nine hundred sixty-eight".