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148348590 = 23513537177
BaseRepresentation
bin10001101011110…
…01111010101110
3101100010220000020
420311321322232
5300434123330
622415343010
73450641115
oct1065717256
9340126006
10148348590
1176814545
1241821a66
1324971340
14159b8c7c
15d055210
hex8d79eae

148348590 has 64 divisors (see below), whose sum is σ = 390712896. Its totient is φ = 35822592.

The previous prime is 148348589. The next prime is 148348633. The reversal of 148348590 is 95843841.

It is a super-4 number, since 4×1483485904 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17082 + ... + 24258.

It is an arithmetic number, because the mean of its divisors is an integer number (6104889).

Almost surely, 2148348590 is an apocalyptic number.

148348590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148348590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195356448).

148348590 is an abundant number, since it is smaller than the sum of its proper divisors (242364306).

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

148348590 is a wasteful number, since it uses less digits than its factorization.

148348590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 148348590 is about 12179.8435950549. The cubic root of 148348590 is about 529.3722126516.

The spelling of 148348590 in words is "one hundred forty-eight million, three hundred forty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 7177 10335 14354 20670 21531 35885 43062 71770 93301 107655 186602 215310 279903 380381 466505 559806 760762 933010 1141143 1399515 1901905 2282286 2799030 3803810 4944953 5705715 9889906 11411430 14834859 24724765 29669718 49449530 74174295 148348590