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148225728 = 2637293803
BaseRepresentation
bin10001101010110…
…11111011000000
3101022220122110210
420311123323000
5300421210403
622412554120
73446616660
oct1065337300
9338818423
10148225728
1176740202
1241782940
132492a441
14159861a0
15d02db03
hex8d5bec0

148225728 has 112 divisors (see below), whose sum is σ = 463783680. Its totient is φ = 40879104.

The previous prime is 148225711. The next prime is 148225739. The reversal of 148225728 is 827522841.

148225728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1482257282 = 43941732882259968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37075 + ... + 40877.

Almost surely, 2148225728 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 148225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231891840).

148225728 is an abundant number, since it is smaller than the sum of its proper divisors (315557952).

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

148225728 is a wasteful number, since it uses less digits than its factorization.

148225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3844 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 148225728 is about 12174.7988895094. The cubic root of 148225728 is about 529.2260306256.

The spelling of 148225728 in words is "one hundred forty-eight million, two hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 3803 4872 5568 6496 7606 9744 11409 12992 15212 19488 22818 26621 30424 38976 45636 53242 60848 79863 91272 106484 110287 121696 159726 182544 212968 220574 243392 319452 330861 365088 425936 441148 638904 661722 730176 772009 851872 882296 1277808 1323444 1544018 1703744 1764592 2316027 2555616 2646888 3088036 3529184 4632054 5111232 5293776 6176072 7058368 9264108 10587552 12352144 18528216 21175104 24704288 37056432 49408576 74112864 148225728