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150000048 = 243211281337
BaseRepresentation
bin10001111000011…
…01000110110000
3101110020210101100
420330031012300
5301400000143
622515004400
73500656632
oct1074150660
9343223340
10150000048
1177742290
1242299700
13250cbc33
1415cc8a52
15d27e6d3
hex8f0d1b0

150000048 has 120 divisors (see below), whose sum is σ = 460948176. Its totient is φ = 45158400.

The previous prime is 150000047. The next prime is 150000083. The reversal of 150000048 is 840000051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150000047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444936 + ... + 445272.

Almost surely, 2150000048 is an apocalyptic number.

150000048 is a gapful number since it is divisible by the number (18) 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 150000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230474088).

150000048 is an abundant number, since it is smaller than the sum of its proper divisors (310948128).

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

150000048 is a wasteful number, since it uses less digits than its factorization.

150000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150000048 is about 12247.4506735075. The cubic root of 150000048 is about 531.3293412664.

Adding to 150000048 its reverse (840000051), we get a palindrome (990000099).

The spelling of 150000048 in words is "one hundred fifty million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 281 337 396 528 562 674 792 843 1011 1124 1348 1584 1686 2022 2248 2529 2696 3033 3091 3372 3707 4044 4496 5058 5392 6066 6182 6744 7414 8088 9273 10116 11121 12132 12364 13488 14828 16176 18546 20232 22242 24264 24728 27819 29656 33363 37092 40464 44484 48528 49456 55638 59312 66726 74184 88968 94697 111276 133452 148368 177936 189394 222552 266904 284091 378788 445104 533808 568182 757576 852273 1041667 1136364 1515152 1704546 2083334 2272728 3125001 3409092 4166668 4545456 6250002 6818184 8333336 9375003 12500004 13636368 16666672 18750006 25000008 37500012 50000016 75000024 150000048