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158000352 = 25319292103
BaseRepresentation
bin10010110101011…
…10010011100000
3102000022020201220
421122232103200
5310422002402
623402255040
73625660266
oct1132562340
9360266656
10158000352
1181207004
1244ab7480
1326970543
1416dac436
15dd0edbc
hex96ae4e0

158000352 has 144 divisors (see below), whose sum is σ = 456543360. Its totient is φ = 47706624.

The previous prime is 158000351. The next prime is 158000389. The reversal of 158000352 is 253000851.

It is a super-2 number, since 2×1580003522 = 49928222464247808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158000351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533933 + ... + 1534035.

It is an arithmetic number, because the mean of its divisors is an integer number (3170440).

Almost surely, 2158000352 is an apocalyptic number.

158000352 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 158000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228271680).

158000352 is an abundant number, since it is smaller than the sum of its proper divisors (298543008).

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

158000352 is a wasteful number, since it uses less digits than its factorization.

158000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 158000352 is about 12569.8190917769. The cubic root of 158000352 is about 540.6124190419.

The spelling of 158000352 in words is "one hundred fifty-eight million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 103 114 116 152 174 206 228 232 304 309 348 412 456 464 551 608 618 696 824 841 912 928 1102 1236 1392 1648 1653 1682 1824 1957 2204 2472 2523 2784 2987 3296 3306 3364 3914 4408 4944 5046 5871 5974 6612 6728 7828 8816 8961 9888 10092 11742 11948 13224 13456 15656 15979 17632 17922 20184 23484 23896 26448 26912 31312 31958 35844 40368 46968 47792 47937 52896 56753 62624 63916 71688 80736 86623 93936 95584 95874 113506 127832 143376 170259 173246 187872 191748 227012 255664 259869 286752 340518 346492 383496 454024 511328 519738 681036 692984 766992 908048 1039476 1362072 1385968 1533984 1645837 1816096 2078952 2724144 2771936 3291674 4157904 4937511 5448288 6583348 8315808 9875022 13166696 19750044 26333392 39500088 52666784 79000176 158000352