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61123248 = 243579199
BaseRepresentation
bin1110100100101…
…0101010110000
311021000101100000
43221022222300
5111121420443
610022030000
71341352614
oct351125260
9137011300
1061123248
113155888a
1218578300
13c881304
148191344
1555758d3
hex3a4aab0

61123248 has 120 divisors (see below), whose sum is σ = 180544000. Its totient is φ = 20015424.

The previous prime is 61123241. The next prime is 61123267. The reversal of 61123248 is 84232116.

61123248 is a `hidden beast` number, since 611 + 2 + 3 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61123241) 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, 307053 + ... + 307251.

Almost surely, 261123248 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 61123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272000).

61123248 is an abundant number, since it is smaller than the sum of its proper divisors (119420752).

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

61123248 is a wasteful number, since it uses less digits than its factorization.

61123248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 61123248 is about 7818.1358391883. The cubic root of 61123248 is about 393.9146576648.

The spelling of 61123248 in words is "sixty-one million, one hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 199 216 237 243 316 324 398 432 474 486 597 632 648 711 796 948 972 1194 1264 1296 1422 1592 1791 1896 1944 2133 2388 2844 3184 3582 3792 3888 4266 4776 5373 5688 6399 7164 8532 9552 10746 11376 12798 14328 15721 16119 17064 19197 21492 25596 28656 31442 32238 34128 38394 42984 47163 48357 51192 62884 64476 76788 85968 94326 96714 102384 125768 128952 141489 153576 188652 193428 251536 257904 282978 307152 377304 386856 424467 565956 754608 773712 848934 1131912 1273401 1697868 2263824 2546802 3395736 3820203 5093604 6791472 7640406 10187208 15280812 20374416 30561624 61123248