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157321248 = 25371931213
BaseRepresentation
bin10010110000010…
…00100000100000
3101222000202011220
421120020200200
5310233234443
623335535040
73620131350
oct1130104040
9358022156
10157321248
1180892867
124482a480
13267933c6
1416c72b60
15dc28a83
hex9608820

157321248 has 96 divisors (see below), whose sum is σ = 474800256. Its totient is φ = 44679168.

The previous prime is 157321237. The next prime is 157321253. The reversal of 157321248 is 842123751.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129090 + ... + 130302.

It is an arithmetic number, because the mean of its divisors is an integer number (4945836).

Almost surely, 2157321248 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 157321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237400128).

157321248 is an abundant number, since it is smaller than the sum of its proper divisors (317479008).

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

157321248 is a wasteful number, since it uses less digits than its factorization.

157321248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 157321248 is about 12542.7767260683. The cubic root of 157321248 is about 539.8367682214.

Adding to 157321248 its reverse (842123751), we get a palindrome (999444999).

The spelling of 157321248 in words is "one hundred fifty-seven million, three hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 193 224 336 386 579 672 772 1158 1213 1351 1544 2316 2426 2702 3088 3639 4053 4632 4852 5404 6176 7278 8106 8491 9264 9704 10808 14556 16212 16982 18528 19408 21616 25473 29112 32424 33964 38816 43232 50946 58224 64848 67928 101892 116448 129696 135856 203784 234109 271712 407568 468218 702327 815136 936436 1404654 1638763 1872872 2809308 3277526 3745744 4916289 5618616 6555052 7491488 9832578 11237232 13110104 19665156 22474464 26220208 39330312 52440416 78660624 157321248