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149248632 = 233132311187
BaseRepresentation
bin10001110010101…
…01101001111000
3101101211121122010
420321111221320
5301201424012
622450525520
73461410131
oct1071255170
9341747563
10149248632
1177279785
1241b968a0
1324bc7c00
1415b70c88
15d181c3c
hex8e55a78

149248632 has 96 divisors (see below), whose sum is σ = 417415680. Its totient is φ = 44403840.

The previous prime is 149248613. The next prime is 149248669. The reversal of 149248632 is 236842941.

149248632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125143 + ... + 126329.

It is an arithmetic number, because the mean of its divisors is an integer number (4348080).

Almost surely, 2149248632 is an apocalyptic number.

149248632 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 149248632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208707840).

149248632 is an abundant number, since it is smaller than the sum of its proper divisors (268167048).

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

149248632 is a wasteful number, since it uses less digits than its factorization.

149248632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 149248632 is about 12216.7357342295. The cubic root of 149248632 is about 530.4406351028.

The spelling of 149248632 in words is "one hundred forty-nine million, two hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1187 1209 1352 1612 2028 2374 2418 3224 3561 4056 4748 4836 5239 7122 9496 9672 10478 14244 15431 15717 20956 28488 30862 31434 36797 41912 46293 61724 62868 73594 92586 110391 123448 125736 147188 185172 200603 220782 294376 370344 401206 441564 478361 601809 802412 883128 956722 1203618 1435083 1604824 1913444 2407236 2870166 3826888 4814472 5740332 6218693 11480664 12437386 18656079 24874772 37312158 49749544 74624316 149248632