Search a number
-
+
491356152 = 23337378783
BaseRepresentation
bin11101010010010…
…111111111111000
31021020120110221000
4131102113333320
52001241344102
6120431245000
715114313140
oct3522277770
91236513830
10491356152
112323a3171
12118679760
137aa498b1
1449385920
152d20c01c
hex1d497ff8

491356152 has 128 divisors (see below), whose sum is σ = 1602201600. Its totient is φ = 136577664.

The previous prime is 491356111. The next prime is 491356183. The reversal of 491356152 is 251653194.

491356152 is a `hidden beast` number, since 4 + 9 + 1 + 35 + 615 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51553 + ... + 60335.

It is an arithmetic number, because the mean of its divisors is an integer number (12517200).

Almost surely, 2491356152 is an apocalyptic number.

491356152 is a gapful number since it is divisible by the number (42) 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 491356152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801100800).

491356152 is an abundant number, since it is smaller than the sum of its proper divisors (1110845448).

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

491356152 is a wasteful number, since it uses less digits than its factorization.

491356152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8832 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 491356152 is about 22166.5548067353. The cubic root of 491356152 is about 789.1001622179.

The spelling of 491356152 in words is "four hundred ninety-one million, three hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 8783 9324 13986 17566 18648 26349 27972 35132 52698 55944 61481 70264 79047 105396 122962 158094 184443 210792 237141 245924 316188 324971 368886 474282 491848 553329 632376 649942 737772 948564 974913 1106658 1299884 1475544 1659987 1897128 1949826 2213316 2274797 2599768 2924739 3319974 3899652 4426632 4549594 5849478 6639948 6824391 7799304 8774217 9099188 11698956 13279896 13648782 17548434 18198376 20473173 23397912 27297564 35096868 40946346 54595128 61419519 70193736 81892692 122839038 163785384 245678076 491356152