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147892542 = 23719241769
BaseRepresentation
bin10001101000010…
…10100100111110
3101022021201102120
420310022210332
5300330030132
622401503410
73444031410
oct1064124476
9338251376
10147892542
1176532946
1241641b66
13248418a5
14158da9b0
15ceb502c
hex8d0a93e

147892542 has 64 divisors (see below), whose sum is σ = 357772800. Its totient is φ = 39813120.

The previous prime is 147892541. The next prime is 147892567. The reversal of 147892542 is 245298741.

147892542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 147892494 and 147892503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147892541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191934 + ... + 192702.

It is an arithmetic number, because the mean of its divisors is an integer number (5590200).

Almost surely, 2147892542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147892542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178886400).

147892542 is an abundant number, since it is smaller than the sum of its proper divisors (209880258).

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

147892542 is a wasteful number, since it uses less digits than its factorization.

147892542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041.

The product of its digits is 161280, while the sum is 42.

The square root of 147892542 is about 12161.1077620421. The cubic root of 147892542 is about 528.8291967060.

The spelling of 147892542 in words is "one hundred forty-seven million, eight hundred ninety-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 241 266 399 482 723 769 798 1446 1538 1687 2307 3374 4579 4614 5061 5383 9158 10122 10766 13737 14611 16149 27474 29222 32053 32298 43833 64106 87666 96159 102277 185329 192318 204554 306831 370658 555987 613662 1111974 1297303 2594606 3521251 3891909 7042502 7783818 10563753 21127506 24648757 49297514 73946271 147892542