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47190672 = 2432417993
BaseRepresentation
bin1011010000000…
…1001010010000
310021210112102200
42310001022100
544040100142
64403243200
71112054064
oct264011220
9107715380
1047190672
1124702061
1213979500
139a13799
1463a5aa4
15422264c
hex2d01290

47190672 has 60 divisors (see below), whose sum is σ = 135306444. Its totient is φ = 15344640.

The previous prime is 47190643. The next prime is 47190677. The reversal of 47190672 is 27609174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 44036496 = 1776^2 + 6636^2 .

It is a super-3 number, since 3×471906723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47190677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 9900.

Almost surely, 247190672 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 47190672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67653222).

47190672 is an abundant number, since it is smaller than the sum of its proper divisors (88115772).

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

47190672 is a wasteful number, since it uses less digits than its factorization.

47190672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47190672 is about 6869.5467099365. The cubic root of 47190672 is about 361.3699652257.

The spelling of 47190672 in words is "forty-seven million, one hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 7993 15986 23979 31972 47958 63944 71937 95916 127888 143874 191832 287748 327713 383664 575496 655426 983139 1150992 1310852 1966278 2621704 2949417 3932556 5243408 5898834 7865112 11797668 15730224 23595336 47190672