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148991904 = 25324353227
BaseRepresentation
bin10001110000101…
…10111110100000
3101101100120110200
420320112332200
5301120220104
622441225200
73456260505
oct1070267640
9341316420
10148991904
1177113906
1241a92200
1324b380b9
1415b054ac
15d130b39
hex8e16fa0

148991904 has 144 divisors (see below), whose sum is σ = 443675232. Its totient is φ = 47384064.

The previous prime is 148991891. The next prime is 148991917. The reversal of 148991904 is 409199841.

It is an interprime number because it is at equal distance from previous prime (148991891) and next prime (148991917).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 148991904.

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, 656239 + ... + 656465.

It is an arithmetic number, because the mean of its divisors is an integer number (3081078).

Almost surely, 2148991904 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 148991904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616).

148991904 is an abundant number, since it is smaller than the sum of its proper divisors (294683328).

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

148991904 is a wasteful number, since it uses less digits than its factorization.

148991904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 148991904 is about 12206.2239861474. The cubic root of 148991904 is about 530.1363171372.

The spelling of 148991904 in words is "one hundred forty-eight million, nine hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 53 72 86 96 106 129 144 159 172 212 227 258 288 318 344 387 424 454 477 516 636 681 688 774 848 908 954 1032 1272 1362 1376 1548 1696 1816 1908 2043 2064 2279 2544 2724 3096 3632 3816 4086 4128 4558 5088 5448 6192 6837 7264 7632 8172 9116 9761 10896 12031 12384 13674 15264 16344 18232 19522 20511 21792 24062 27348 29283 32688 36093 36464 39044 41022 48124 54696 58566 65376 72186 72928 78088 82044 87849 96248 108279 109392 117132 144372 156176 164088 175698 192496 216558 218784 234264 288744 312352 328176 351396 384992 433116 468528 517333 577488 656352 702792 866232 937056 1034666 1154976 1405584 1551999 1732464 2069332 2811168 3103998 3464928 4138664 4655997 6207996 8277328 9311994 12415992 16554656 18623988 24831984 37247976 49663968 74495952 148991904