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157841838 = 233721121729
BaseRepresentation
bin10010110100001…
…11100110101110
3102000000012022000
421122013212232
5310401414323
623355033130
73624430200
oct1132074656
9360005260
10157841838
1181108a00
1244a3b7a6
132691634b
1416d6a770
15dccce43
hex96879ae

157841838 has 288 divisors, whose sum is σ = 491248800. Its totient is φ = 37255680.

The previous prime is 157841819. The next prime is 157841843. The reversal of 157841838 is 838148751.

It is a happy number.

157841838 is a `hidden beast` number, since 1 + 578 + 41 + 8 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157841793 and 157841802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5442808 + ... + 5442836.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2157841838 is an apocalyptic number.

157841838 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 157841838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245624400).

157841838 is an abundant number, since it is smaller than the sum of its proper divisors (333406962).

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

157841838 is a wasteful number, since it uses less digits than its factorization.

157841838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 157841838 is about 12563.5121681797. The cubic root of 157841838 is about 540.4315685783.

The spelling of 157841838 in words is "one hundred fifty-seven million, eight hundred forty-one thousand, eight hundred thirty-eight".