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157689324 = 2232134767107
BaseRepresentation
bin10010110011000…
…10010111101100
3101222201110002100
421121202113230
5310332024244
623351455100
73623223432
oct1131422754
9358643070
10157689324
1181014361
1244987490
1326891ac0
1416d2ad52
15dc9cb69
hex96625ec

157689324 has 144 divisors (see below), whose sum is σ = 449100288. Its totient is φ = 46341504.

The previous prime is 157689313. The next prime is 157689347. The reversal of 157689324 is 423986751.

157689324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157689324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473679 + ... + 1473785.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2157689324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157689324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

157689324 is an abundant number, since it is smaller than the sum of its proper divisors (291410964).

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

157689324 is a wasteful number, since it uses less digits than its factorization.

157689324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 157689324 is about 12557.4409813465. The cubic root of 157689324 is about 540.2574492560.

The spelling of 157689324 in words is "one hundred fifty-seven million, six hundred eighty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 67 78 94 107 117 134 141 156 188 201 214 234 268 282 321 402 423 428 468 564 603 611 642 804 846 871 963 1206 1222 1284 1391 1692 1742 1833 1926 2412 2444 2613 2782 3149 3484 3666 3852 4173 5029 5226 5499 5564 6298 7169 7332 7839 8346 9447 10058 10452 10998 12519 12596 14338 15087 15678 16692 18894 20116 21507 21996 25038 28341 28676 30174 31356 37788 40937 43014 45261 50076 56682 60348 64521 65377 81874 86028 90522 93197 113364 122811 129042 130754 163748 181044 186394 196131 245622 258084 261508 279591 336943 368433 372788 392262 491244 559182 588393 673886 736866 784524 838773 1010829 1118364 1176786 1347772 1473732 1677546 2021658 2353572 3032487 3355092 4043316 4380259 6064974 8760518 12129948 13140777 17521036 26281554 39422331 52563108 78844662 157689324