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149249646 = 232713243163
BaseRepresentation
bin10001110010101…
…01111001101110
3101101211200000200
420321111321232
5301201442041
622450534330
73461413110
oct1071257156
9341750020
10149249646
117727a517
1241b973a6
1324bc8500
1415b713b0
15d1821b6
hex8e55e6e

149249646 has 144 divisors (see below), whose sum is σ = 412004736. Its totient is φ = 38211264.

The previous prime is 149249641. The next prime is 149249651. The reversal of 149249646 is 646942941.

It is an interprime number because it is at equal distance from previous prime (149249641) and next prime (149249651).

It is a super-2 number, since 2×1492496462 = 44550913662250632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149249641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915561 + ... + 915723.

It is an arithmetic number, because the mean of its divisors is an integer number (2861144).

Almost surely, 2149249646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149249646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206002368).

149249646 is an abundant number, since it is smaller than the sum of its proper divisors (262755090).

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

149249646 is a wasteful number, since it uses less digits than its factorization.

149249646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 149249646 is about 12216.7772346065. Note that the first 3 decimals coincide. The cubic root of 149249646 is about 530.4418363770.

The spelling of 149249646 in words is "one hundred forty-nine million, two hundred forty-nine thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 163 169 182 234 258 273 301 326 338 387 489 507 546 559 602 774 819 903 978 1014 1118 1141 1183 1467 1521 1638 1677 1806 2119 2282 2366 2709 2934 3042 3354 3423 3549 3913 4238 5031 5418 6357 6846 7009 7098 7267 7826 10062 10269 10647 11739 12714 14018 14534 14833 19071 20538 21027 21294 21801 23478 27547 29666 35217 38142 42054 43602 44499 49063 50869 55094 63081 65403 70434 82641 88998 91117 98126 101738 126162 130806 133497 147189 152607 165282 182234 192829 247923 266994 273351 294378 305214 385658 441567 457821 495846 546702 578487 637819 820053 883134 915642 1156974 1184521 1275638 1640106 1735461 1913457 2369042 3470922 3553563 3826914 5740371 7107126 8291647 10660689 11480742 16583294 21321378 24874941 49749882 74624823 149249646