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148906912 = 25711223271
BaseRepresentation
bin10001110000000…
…10001110100000
3101101012020212211
420320002032200
5301110010122
622435331504
73455454640
oct1070021640
9341166784
10148906912
1177065a70
1241a50b94
1324b084cb
1415ac2520
15d115877
hex8e023a0

148906912 has 96 divisors (see below), whose sum is σ = 368492544. Its totient is φ = 57542400.

The previous prime is 148906889. The next prime is 148906913. The reversal of 148906912 is 219609841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148906913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549337 + ... + 549607.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 2148906912 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 148906912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184246272).

148906912 is an abundant number, since it is smaller than the sum of its proper divisors (219585632).

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

148906912 is a wasteful number, since it uses less digits than its factorization.

148906912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 148906912 is about 12202.7419869470. The cubic root of 148906912 is about 530.0354930544.

The spelling of 148906912 in words is "one hundred forty-eight million, nine hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 223 224 271 308 352 446 542 616 892 1084 1232 1561 1784 1897 2168 2453 2464 2981 3122 3568 3794 4336 4906 5962 6244 7136 7588 8672 9812 11924 12488 15176 17171 19624 20867 23848 24976 30352 34342 39248 41734 47696 49952 60433 60704 68684 78496 83468 95392 120866 137368 166936 241732 274736 333872 423031 483464 549472 664763 667744 846062 966928 1329526 1692124 1933856 2659052 3384248 4653341 5318104 6768496 9306682 10636208 13536992 18613364 21272416 37226728 74453456 148906912