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149568304 = 24193159269
BaseRepresentation
bin10001110101000…
…11101100110000
3101102102212010211
420322203230300
5301242141204
622501433504
73464211124
oct1072435460
9342385124
10149568304
1177477976
124210b894
1324caa572
1415c15584
15d1e6804
hex8ea3b30

149568304 has 80 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 67150080.

The previous prime is 149568301. The next prime is 149568343. The reversal of 149568304 is 403865941.

It is a super-2 number, since 2×1495683042 = 44741355122872832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149568301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 555882 + ... + 556150.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2149568304 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 149568304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

149568304 is an abundant number, since it is smaller than the sum of its proper divisors (171839696).

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

149568304 is a wasteful number, since it uses less digits than its factorization.

149568304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 149568304 is about 12229.8120999466. The cubic root of 149568304 is about 530.8190776531.

The spelling of 149568304 in words is "one hundred forty-nine million, five hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 38 59 62 76 118 124 152 236 248 269 304 472 496 538 589 944 1076 1121 1178 1829 2152 2242 2356 3658 4304 4484 4712 5111 7316 8339 8968 9424 10222 14632 15871 16678 17936 20444 29264 31742 33356 34751 40888 63484 66712 69502 81776 126968 133424 139004 158441 253936 278008 301549 316882 492001 556016 603098 633764 984002 1206196 1267528 1968004 2412392 2535056 3936008 4824784 7872016 9348019 18696038 37392076 74784152 149568304