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47042952 = 23311732441
BaseRepresentation
bin1011001101110…
…1000110001000
310021112000210120
42303131012020
544020333302
64400143240
71110600315
oct263350610
9107460716
1047042952
1124611080
1213907b20
139991488
146367d0c
1541e39bc
hex2cdd188

47042952 has 64 divisors (see below), whose sum is σ = 130109760. Its totient is φ = 14054400.

The previous prime is 47042951. The next prime is 47042953. The reversal of 47042952 is 25924074.

It is an interprime number because it is at equal distance from previous prime (47042951) and next prime (47042953).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (47042951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18052 + ... + 20492.

It is an arithmetic number, because the mean of its divisors is an integer number (2032965).

Almost surely, 247042952 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 47042952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65054880).

47042952 is an abundant number, since it is smaller than the sum of its proper divisors (83066808).

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

47042952 is a wasteful number, since it uses less digits than its factorization.

47042952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 47042952 is about 6858.7864815870. The cubic root of 47042952 is about 360.9925080870.

The spelling of 47042952 in words is "forty-seven million, forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 2441 3212 4818 4882 6424 7323 9636 9764 14646 19272 19528 26851 29292 53702 58584 80553 107404 161106 178193 214808 322212 356386 534579 644424 712772 1069158 1425544 1960123 2138316 3920246 4276632 5880369 7840492 11760738 15680984 23521476 47042952