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149305288 = 231121743211
BaseRepresentation
bin10001110011000…
…11011111001000
3101101221111100111
420321203133020
5301210232123
622452044104
73462034246
oct1071433710
9341844314
10149305288
1177308300
1242003634
1324c17932
1415b87796
15d19390d
hex8e637c8

149305288 has 96 divisors (see below), whose sum is σ = 334968480. Its totient is φ = 62092800.

The previous prime is 149305283. The next prime is 149305319. The reversal of 149305288 is 882503941.

149305288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149305288.

It is not an unprimeable number, because it can be changed into a prime (149305283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707503 + ... + 707713.

It is an arithmetic number, because the mean of its divisors is an integer number (3489255).

Almost surely, 2149305288 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 149305288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167484240).

149305288 is an abundant number, since it is smaller than the sum of its proper divisors (185663192).

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

149305288 is a wasteful number, since it uses less digits than its factorization.

149305288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 149305288 is about 12219.0543005586. The cubic root of 149305288 is about 530.5077464777.

The spelling of 149305288 in words is "one hundred forty-nine million, three hundred five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 121 136 172 187 211 242 344 374 422 473 484 731 748 844 946 968 1462 1496 1688 1892 2057 2321 2924 3587 3784 4114 4642 5203 5848 7174 8041 8228 9073 9284 10406 14348 16082 16456 18146 18568 20812 25531 28696 32164 36292 39457 41624 51062 64328 72584 78914 88451 99803 102124 154241 157828 176902 199606 204248 308482 315656 353804 399212 434027 616964 707608 798424 868054 1097833 1233928 1696651 1736108 2195666 3393302 3472216 4391332 6786604 8782664 13573208 18663161 37326322 74652644 149305288