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157914848 = 25721361127
BaseRepresentation
bin10010110100110…
…01011011100000
3102000010220110002
421122121123200
5310411233343
623400355132
73625153100
oct1132313340
9360126402
10157914848
1181158843
1244a75aa8
1326940650
1416d89200
15dce48b8
hex96996e0

157914848 has 144 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 60963840.

The previous prime is 157914847. The next prime is 157914851. The reversal of 157914848 is 848419751.

Its product of digits (322560) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157914847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243361 + ... + 1243487.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2157914848 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 157914848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

157914848 is an abundant number, since it is smaller than the sum of its proper divisors (241059616).

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

157914848 is a wasteful number, since it uses less digits than its factorization.

157914848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its digits is 322560, while the sum is 47.

The square root of 157914848 is about 12566.4174687936. The cubic root of 157914848 is about 540.5148815690.

The spelling of 157914848 in words is "one hundred fifty-seven million, nine hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 91 98 104 112 122 127 182 196 208 224 244 254 364 392 416 427 488 508 637 728 784 793 854 889 976 1016 1274 1456 1568 1586 1651 1708 1778 1952 2032 2548 2912 2989 3172 3302 3416 3556 4064 5096 5551 5978 6223 6344 6604 6832 7112 7747 10192 11102 11557 11956 12446 12688 13208 13664 14224 15494 20384 22204 23114 23912 24892 25376 26416 28448 30988 38857 44408 46228 47824 49784 52832 54229 61976 77714 80899 88816 92456 95648 99568 100711 108458 123952 155428 161798 177632 184912 199136 201422 216916 247904 310856 323596 369824 379603 402844 433832 621712 647192 704977 759206 805688 867664 1243424 1294384 1409954 1518412 1611376 1735328 2588768 2819908 3036824 3222752 4934839 5639816 6073648 9869678 11279632 12147296 19739356 22559264 39478712 78957424 157914848