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853742124 = 2232194329027
BaseRepresentation
bin110010111000110…
…001001000101100
32012111110121000200
4302320301020230
53222024221444
6220414353500
730104455044
oct6270611054
92174417020
10853742124
113a8a08104
121b9abb890
13107b4b671
1481558724
154ee40969
hex32e3122c

853742124 has 72 divisors (see below), whose sum is σ = 2324562240. Its totient is φ = 263323872.

The previous prime is 853742119. The next prime is 853742147. The reversal of 853742124 is 421247358.

It is a happy number.

It is a super-2 number, since 2×8537421242 = 1457751228584062752, which contains 22 as substring.

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

It is an unprimeable number.

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, 14899 + ... + 43925.

Almost surely, 2853742124 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 853742124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162281120).

853742124 is an abundant number, since it is smaller than the sum of its proper divisors (1470820116).

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

853742124 is a wasteful number, since it uses less digits than its factorization.

853742124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29099 (or 29094 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 853742124 is about 29218.8658917488. The cubic root of 853742124 is about 948.6563179330.

The spelling of 853742124 in words is "eight hundred fifty-three million, seven hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4902 7353 9804 14706 29027 29412 58054 87081 116108 174162 261243 348324 522486 551513 1044972 1103026 1248161 1654539 2206052 2496322 3309078 3744483 4963617 4992644 6618156 7488966 9927234 11233449 14977932 19854468 22466898 23715059 44933796 47430118 71145177 94860236 142290354 213435531 284580708 426871062 853742124