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147448728 = 23337113863
BaseRepresentation
bin10001100100111…
…10001110011000
3101021110011122000
420302132032120
5300221324403
622344201000
73440202450
oct1062361630
9337404560
10147448728
117625a459
1241469160
132471788b
1415822d60
15ce287a3
hex8c9e398

147448728 has 128 divisors (see below), whose sum is σ = 472780800. Its totient is φ = 41707008.

The previous prime is 147448711. The next prime is 147448747. The reversal of 147448728 is 827844741.

147448728 is a `hidden beast` number, since 147 + 4 + 487 + 28 = 666.

It is a super-2 number, since 2×1474487282 = 43482254777635968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 170425 + ... + 171287.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2147448728 is an apocalyptic number.

147448728 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 147448728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

147448728 is an abundant number, since it is smaller than the sum of its proper divisors (325332072).

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

147448728 is a wasteful number, since it uses less digits than its factorization.

147448728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 147448728 is about 12142.8467831889. The cubic root of 147448728 is about 528.2996749238.

The spelling of 147448728 in words is "one hundred forty-seven million, four hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 678 756 791 863 904 1017 1356 1512 1582 1726 2034 2373 2589 2712 3051 3164 3452 4068 4746 5178 6041 6102 6328 6904 7119 7767 8136 9492 10356 12082 12204 14238 15534 18123 18984 20712 21357 23301 24164 24408 28476 31068 36246 42714 46602 48328 54369 56952 62136 72492 85428 93204 97519 108738 144984 163107 170856 186408 195038 217476 292557 326214 390076 434952 585114 652428 682633 780152 877671 1170228 1304856 1365266 1755342 2047899 2340456 2633013 2730532 3510684 4095798 5266026 5461064 6143697 7021368 8191596 10532052 12287394 16383192 18431091 21064104 24574788 36862182 49149576 73724364 147448728