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149494896 = 243431612
BaseRepresentation
bin10001110100100…
…01110001110000
3101102022010110000
420322101301300
5301232314041
622500110000
73463454115
oct1072216160
9342263400
10149494896
1177427801
1242095300
1324c83025
1415bd690c
15d1cebb6
hex8e91c70

149494896 has 150 divisors (see below), whose sum is σ = 454081056. Its totient is φ = 47433600.

The previous prime is 149494879. The next prime is 149494909. The reversal of 149494896 is 698494941.

It is a happy number.

149494896 is a `hidden beast` number, since 149 + 494 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2450706 + ... + 2450766.

Almost surely, 2149494896 is an apocalyptic number.

149494896 is a gapful number since it is divisible by the number (16) 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 149494896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227040528).

149494896 is an abundant number, since it is smaller than the sum of its proper divisors (304586160).

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

149494896 is an equidigital number, since it uses as much as digits as its factorization.

149494896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 97 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 149494896 is about 12226.8105407747. The cubic root of 149494896 is about 530.7322215870.

The spelling of 149494896 in words is "one hundred forty-nine million, four hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 61 62 72 81 93 108 122 124 144 162 183 186 216 244 248 279 324 366 372 432 488 496 549 558 648 732 744 837 976 1098 1116 1296 1464 1488 1647 1674 1891 2196 2232 2511 2928 3294 3348 3721 3782 4392 4464 4941 5022 5673 6588 6696 7442 7564 8784 9882 10044 11163 11346 13176 13392 14884 15128 17019 19764 20088 22326 22692 26352 29768 30256 33489 34038 39528 40176 44652 45384 51057 59536 66978 68076 79056 89304 90768 100467 102114 115351 133956 136152 153171 178608 200934 204228 230702 267912 272304 301401 306342 346053 401868 408456 461404 535824 602802 612684 692106 803736 816912 922808 1038159 1205604 1225368 1384212 1607472 1845616 2076318 2411208 2450736 2768424 3114477 4152636 4822416 5536848 6228954 8305272 9343431 12457908 16610544 18686862 24915816 37373724 49831632 74747448 149494896