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149157792 = 25327241307
BaseRepresentation
bin10001110001111…
…11011110100000
3101101200000000200
420320333132200
5301141022132
622444545200
73460551240
oct1070773640
9341600020
10149157792
1177217503
1241b52200
1324b95764
1415b49b20
15d164d7c
hex8e3f7a0

149157792 has 144 divisors (see below), whose sum is σ = 488359872. Its totient is φ = 42301440.

The previous prime is 149157781. The next prime is 149157793. The reversal of 149157792 is 297751941.

149157792 is a `hidden beast` number, since 1 + 491 + 5 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (149157793) 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, 485703 + ... + 486009.

It is an arithmetic number, because the mean of its divisors is an integer number (3391388).

Almost surely, 2149157792 is an apocalyptic number.

149157792 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 149157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244179936).

149157792 is an abundant number, since it is smaller than the sum of its proper divisors (339202080).

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

149157792 is a wasteful number, since it uses less digits than its factorization.

149157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 149157792 is about 12213.0173176001. The cubic root of 149157792 is about 530.3329959106.

The spelling of 149157792 in words is "one hundred forty-nine million, one hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 241 252 288 307 336 482 504 614 672 723 921 964 1008 1228 1446 1687 1842 1928 2016 2149 2169 2456 2763 2892 3374 3684 3856 4298 4338 4912 5061 5526 5784 6447 6748 7368 7712 8596 8676 9824 10122 11052 11568 12894 13496 14736 15183 17192 17352 19341 20244 22104 23136 25788 26992 29472 30366 34384 34704 38682 40488 44208 51576 53984 60732 68768 69408 73987 77364 80976 88416 103152 121464 147974 154728 161952 206304 221961 242928 295948 309456 443922 485856 517909 591896 618912 665883 887844 1035818 1183792 1331766 1553727 1775688 2071636 2367584 2663532 3107454 3551376 4143272 4661181 5327064 6214908 7102752 8286544 9322362 10654128 12429816 16573088 18644724 21308256 24859632 37289448 49719264 74578896 149157792