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157543344 = 24327732141
BaseRepresentation
bin10010110001111…
…10101110110000
3101222110000211200
421120332232300
5310312341334
623344411200
73622045020
oct1130765660
9358400750
10157543344
1180a24712
1244916b00
132684051a
1416ccda80
15dc6e799
hex963ebb0

157543344 has 120 divisors (see below), whose sum is σ = 511029792. Its totient is φ = 44375040.

The previous prime is 157543343. The next prime is 157543349. The reversal of 157543344 is 443345751.

157543344 is a `hidden beast` number, since 1 + 575 + 43 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157543299 and 157543308.

It is not an unprimeable number, because it can be changed into a prime (157543343) 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, 72514 + ... + 74654.

Almost surely, 2157543344 is an apocalyptic number.

157543344 is a gapful number since it is divisible by the number (14) 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 157543344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255514896).

157543344 is an abundant number, since it is smaller than the sum of its proper divisors (353486448).

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

157543344 is a wasteful number, since it uses less digits than its factorization.

157543344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2226 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 157543344 is about 12551.6271455138. The cubic root of 157543344 is about 540.0906843586.

The spelling of 157543344 in words is "one hundred fifty-seven million, five hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1168 1314 1533 1752 2044 2141 2628 3066 3504 4088 4282 4599 5256 6132 6423 8176 8564 9198 10512 12264 12846 14987 17128 18396 19269 24528 25692 29974 34256 36792 38538 44961 51384 59948 73584 77076 89922 102768 119896 134883 154152 156293 179844 239792 269766 308304 312586 359688 468879 539532 625172 719376 937758 1079064 1094051 1250344 1406637 1875516 2158128 2188102 2500688 2813274 3282153 3751032 4376204 5626548 6564306 7502064 8752408 9846459 11253096 13128612 17504816 19692918 22506192 26257224 39385836 52514448 78771672 157543344