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61608048 = 2435361397
BaseRepresentation
bin1110101100000…
…1000001110000
311021221000100120
43223001001300
5111232424143
610040250240
71345442205
oct353010160
9137830316
1061608048
113185a047
1218770980
13c9c0b88
148279cac
15561e383
hex3ac1070

61608048 has 80 divisors (see below), whose sum is σ = 165230496. Its totient is φ = 19768320.

The previous prime is 61608047. The next prime is 61608077. The reversal of 61608048 is 84080616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61608047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154986 + ... + 155382.

Almost surely, 261608048 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 61608048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82615248).

61608048 is an abundant number, since it is smaller than the sum of its proper divisors (103622448).

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

61608048 is a wasteful number, since it uses less digits than its factorization.

61608048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61608048 is about 7849.0794364690. The cubic root of 61608048 is about 394.9533630780.

The spelling of 61608048 in words is "sixty-one million, six hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 61 106 122 159 183 212 244 318 366 397 424 488 636 732 794 848 976 1191 1272 1464 1588 2382 2544 2928 3176 3233 4764 6352 6466 9528 9699 12932 19056 19398 21041 24217 25864 38796 42082 48434 51728 63123 72651 77592 84164 96868 126246 145302 155184 168328 193736 252492 290604 336656 387472 504984 581208 1009968 1162416 1283501 2567002 3850503 5134004 7701006 10268008 15402012 20536016 30804024 61608048