Search a number
-
+
61183152 = 24324143241
BaseRepresentation
bin1110100101100…
…1010010110000
311021010102111200
43221121102300
5111130330102
610023211200
71342022352
oct351312260
9137112450
1061183152
1131599898
12185a6b00
13c8a2664
1481a90d2
15558851c
hex3a594b0

61183152 has 120 divisors (see below), whose sum is σ = 180228048. Its totient is φ = 19353600.

The previous prime is 61183121. The next prime is 61183159. The reversal of 61183152 is 25138116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61183159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253752 + ... + 253992.

Almost surely, 261183152 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 61183152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90114024).

61183152 is an abundant number, since it is smaller than the sum of its proper divisors (119044896).

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

61183152 is a wasteful number, since it uses less digits than its factorization.

61183152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 61183152 is about 7821.9659932782. The cubic root of 61183152 is about 394.0433013469.

The spelling of 61183152 in words is "sixty-one million, one hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 241 246 258 328 344 369 387 482 492 516 656 688 723 738 774 964 984 1032 1446 1476 1548 1763 1928 1968 2064 2169 2892 2952 3096 3526 3856 4338 5289 5784 5904 6192 7052 8676 9881 10363 10578 11568 14104 15867 17352 19762 20726 21156 28208 29643 31089 31734 34704 39524 41452 42312 59286 62178 63468 79048 82904 84624 88929 93267 118572 124356 126936 158096 165808 177858 186534 237144 248712 253872 355716 373068 424883 474288 497424 711432 746136 849766 1274649 1422864 1492272 1699532 2549298 3399064 3823947 5098596 6798128 7647894 10197192 15295788 20394384 30591576 61183152