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152270028 = 223219239679
BaseRepresentation
bin10010001001101…
…11010011001100
3101121112010012200
421010313103030
5302440120103
623035401500
73526162641
oct1104672314
9347463180
10152270028
1178a527a9
1242bb3290
1325715211
1416319dc8
15d57c0a3
hex91374cc

152270028 has 72 divisors (see below), whose sum is σ = 422822400. Its totient is φ = 45989856.

The previous prime is 152270017. The next prime is 152270033. The reversal of 152270028 is 820072251.

It is a super-2 number, since 2×1522700282 = 46372322854241568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152269983 and 152270010.

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 23 ways as a sum of consecutive naturals, for example, 10893 + ... + 20571.

Almost surely, 2152270028 is an apocalyptic number.

152270028 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 152270028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211411200).

152270028 is an abundant number, since it is smaller than the sum of its proper divisors (270552372).

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

152270028 is a wasteful number, since it uses less digits than its factorization.

152270028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152270028 is about 12339.7742280805. The cubic root of 152270028 is about 533.9961704897.

The spelling of 152270028 in words is "one hundred fifty-two million, two hundred seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 9679 15732 19358 29037 38716 58074 87111 116148 174222 183901 222617 348444 367802 445234 551703 667851 735604 890468 1103406 1335702 1655109 2003553 2206812 2671404 3310218 4007106 4229723 6620436 8014212 8459446 12689169 16918892 25378338 38067507 50756676 76135014 152270028