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157973844 = 223722311681
BaseRepresentation
bin10010110101001…
…11110101010100
3102000020220101010
421122213311110
5310420130334
623401532220
73625520100
oct1132476524
9360226333
10157973844
11811990a6
1244aa4070
1326961462
1416da2900
15dd070e9
hex96a7d54

157973844 has 72 divisors (see below), whose sum is σ = 447467328. Its totient is φ = 43169280.

The previous prime is 157973833. The next prime is 157973863. The reversal of 157973844 is 448379751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157973793 and 157973802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7684 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (6214824).

Almost surely, 2157973844 is an apocalyptic number.

157973844 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 157973844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223733664).

157973844 is an abundant number, since it is smaller than the sum of its proper divisors (289493484).

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

157973844 is a wasteful number, since it uses less digits than its factorization.

157973844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11716 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 157973844 is about 12568.7646170974. The cubic root of 157973844 is about 540.5821841820.

The spelling of 157973844 in words is "one hundred fifty-seven million, nine hundred seventy-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 11681 13524 23362 35043 46724 70086 81767 140172 163534 245301 268663 327068 490602 537326 572369 805989 981204 1074652 1144738 1611978 1717107 1880641 2289476 3223956 3434214 3761282 5641923 6868428 7522564 11283846 13164487 22567692 26328974 39493461 52657948 78986922 157973844