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147905628 = 223132393967
BaseRepresentation
bin10001101000011…
…01110001011100
3101022022101101020
420310031301130
5300330440003
622402044140
73444114513
oct1064156134
9338271336
10147905628
1176541762
1241649650
1324847830
141590167a
15ceb8d53
hex8d0dc5c

147905628 has 48 divisors (see below), whose sum is σ = 373309440. Its totient is φ = 45307584.

The previous prime is 147905623. The next prime is 147905657. The reversal of 147905628 is 826509741.

It is a self number, because there is not a number n which added to its sum of digits gives 147905628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147905623) 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 15 ways as a sum of consecutive naturals, for example, 35301 + ... + 39267.

It is an arithmetic number, because the mean of its divisors is an integer number (7777280).

Almost surely, 2147905628 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 147905628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654720).

147905628 is an abundant number, since it is smaller than the sum of its proper divisors (225403812).

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

147905628 is a wasteful number, since it uses less digits than its factorization.

147905628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 147905628 is about 12161.6457767853. The cubic root of 147905628 is about 528.8447937394.

The spelling of 147905628 in words is "one hundred forty-seven million, nine hundred five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2868 3107 3967 6214 7934 9321 11901 12428 15868 18642 23802 37284 47604 51571 103142 154713 206284 309426 618852 948113 1896226 2844339 3792452 5688678 11377356 12325469 24650938 36976407 49301876 73952814 147905628