Search a number
-
+
991157952 = 263192311813
BaseRepresentation
bin111011000100111…
…101111011000000
32120002001001002210
4323010331323000
54012214023302
6242203542120
733363463221
oct7304757300
92502031083
10991157952
11469534704
12237b2a940
1312a4626c5
14958c9248
155c03666c
hex3b13dec0

991157952 has 112 divisors (see below), whose sum is σ = 2880725760. Its totient is φ = 299363328.

The previous prime is 991157939. The next prime is 991157963. The reversal of 991157952 is 259751199.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77998 + ... + 89810.

Almost surely, 2991157952 is an apocalyptic number.

991157952 is a gapful number since it is divisible by the number (92) 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 991157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440362880).

991157952 is an abundant number, since it is smaller than the sum of its proper divisors (1889567808).

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

991157952 is a wasteful number, since it uses less digits than its factorization.

991157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11870 (or 11860 counting only the distinct ones).

The product of its digits is 255150, while the sum is 48.

The square root of 991157952 is about 31482.6611327569. The cubic root of 991157952 is about 997.0439208733.

The spelling of 991157952 in words is "nine hundred ninety-one million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 736 874 912 1104 1216 1311 1472 1748 1824 2208 2622 3496 3648 4416 5244 6992 10488 11813 13984 20976 23626 27968 35439 41952 47252 70878 83904 94504 141756 189008 224447 271699 283512 378016 448894 543398 567024 673341 756032 815097 897788 1086796 1134048 1346682 1630194 1795576 2173592 2268096 2693364 3260388 3591152 4347184 5162281 5386728 6520776 7182304 8694368 10324562 10773456 13041552 14364608 15486843 17388736 20649124 21546912 26083104 30973686 41298248 43093824 52166208 61947372 82596496 123894744 165192992 247789488 330385984 495578976 991157952