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157844538 = 23823523
BaseRepresentation
bin10010110100010…
…00010000111010
3102000000100000000
421122020100322
5310402011123
623355053430
73624441105
oct1132102072
9360010000
10157844538
118110aa35
1244a41276
1326917647
1416d6b73c
15dccdb43
hex968843a

157844538 has 72 divisors (see below), whose sum is σ = 371281248. Its totient is φ = 50231016.

The previous prime is 157844537. The next prime is 157844539. The reversal of 157844538 is 835448751.

157844538 is a `hidden beast` number, since 1 + 5 + 78 + 44 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (157844537) and next prime (157844539).

It is a junction number, because it is equal to n+sod(n) for n = 157844493 and 157844502.

It is not an unprimeable number, because it can be changed into a prime (157844537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301545 + ... + 302067.

It is an arithmetic number, because the mean of its divisors is an integer number (5156684).

Almost surely, 2157844538 is an apocalyptic number.

157844538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157844538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640624).

157844538 is an abundant number, since it is smaller than the sum of its proper divisors (213436710).

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

157844538 is an frugal number, since it uses more digits than its factorization.

157844538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 157844538 is about 12563.6196217491. The cubic root of 157844538 is about 540.4346500530.

The spelling of 157844538 in words is "one hundred fifty-seven million, eight hundred forty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 523 621 729 1046 1242 1458 1569 1863 2187 3138 3726 4374 4707 5589 6561 9414 11178 12029 13122 14121 16767 24058 28242 33534 36087 42363 50301 72174 84726 100602 108261 127089 150903 216522 254178 301806 324783 381267 649566 762534 974349 1143801 1948698 2287602 2923047 3431403 5846094 6862806 8769141 17538282 26307423 52614846 78922269 157844538