Search a number
-
+
147855492 = 223219231367
BaseRepresentation
bin10001101000000…
…01100010000100
3101022012211121100
420310001202010
5300322333432
622401020100
73443515401
oct1064014204
9338184540
10147855492
1176508024
1241624630
132482aa75
14158cb2a8
15cea907c
hex8d01884

147855492 has 108 divisors (see below), whose sum is σ = 408285696. Its totient is φ = 45061920.

The previous prime is 147855479. The next prime is 147855493. The reversal of 147855492 is 294558741.

147855492 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 554 + 92 = 666.

It is a super-2 number, since 2×1478554922 = 43722493029124128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147855493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402693 + ... + 403059.

Almost surely, 2147855492 is an apocalyptic number.

147855492 is a gapful number since it is divisible by the number (12) 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 147855492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204142848).

147855492 is an abundant number, since it is smaller than the sum of its proper divisors (260430204).

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

147855492 is a wasteful number, since it uses less digits than its factorization.

147855492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 147855492 is about 12159.5843678968. The cubic root of 147855492 is about 528.7850323016.

The spelling of 147855492 in words is "one hundred forty-seven million, eight hundred fifty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 361 367 372 558 589 684 722 734 1083 1101 1116 1178 1444 1468 1767 2166 2202 2356 3249 3303 3534 4332 4404 5301 6498 6606 6973 7068 10602 11191 11377 12996 13212 13946 20919 21204 22382 22754 27892 33573 34131 41838 44764 45508 62757 67146 68262 83676 100719 102393 125514 132487 134292 136524 201438 204786 216163 251028 264974 397461 402876 409572 432326 529948 648489 794922 864652 1192383 1296978 1589844 1945467 2384766 2593956 3890934 4107097 4769532 7781868 8214194 12321291 16428388 24642582 36963873 49285164 73927746 147855492