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148925952 = 2937719
BaseRepresentation
bin10001110000001…
…10111000000000
3101101020020000000
420320012320000
5301111112302
622440000000
73455564310
oct1070067000
9341206000
10148925952
11770792aa
1241a60000
1324b14086
1415ac9440
15d11b31c
hex8e06e00

148925952 has 320 divisors, whose sum is σ = 536870400. Its totient is φ = 40310784.

The previous prime is 148925951. The next prime is 148925963. The reversal of 148925952 is 259529841.

It is a happy number.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 148925898 and 148925907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148925951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7838199 + ... + 7838217.

It is an arithmetic number, because the mean of its divisors is an integer number (1677720).

Almost surely, 2148925952 is an apocalyptic number.

148925952 is a gapful number since it is divisible by the number (12) 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 148925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268435200).

148925952 is an abundant number, since it is smaller than the sum of its proper divisors (387944448).

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

148925952 is an frugal number, since it uses more digits than its factorization.

148925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 148925952 is about 12203.5221145373. The cubic root of 148925952 is about 530.0580831087.

The spelling of 148925952 in words is "one hundred forty-eight million, nine hundred twenty-five thousand, nine hundred fifty-two".