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61830912 = 2831113563
BaseRepresentation
bin1110101111011…
…1011100000000
311022100100001210
43223313130000
5111312042122
610045130120
71350361023
oct353673400
9138310053
1061830912
11319a1530
1218859940
13ca6b450
1482d71ba
15566540c
hex3af7700

61830912 has 144 divisors (see below), whose sum is σ = 193673088. Its totient is φ = 17264640.

The previous prime is 61830907. The next prime is 61830919. The reversal of 61830912 is 21903816.

It is a self number, because there is not a number n which added to its sum of digits gives 61830912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61830919) 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, 109543 + ... + 110105.

It is an arithmetic number, because the mean of its divisors is an integer number (1344952).

Almost surely, 261830912 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 61830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96836544).

61830912 is an abundant number, since it is smaller than the sum of its proper divisors (131842176).

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

61830912 is a wasteful number, since it uses less digits than its factorization.

61830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 61830912 is about 7863.2634446520. The cubic root of 61830912 is about 395.4290312464.

The spelling of 61830912 in words is "sixty-one million, eight hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 563 572 624 704 768 832 858 1056 1126 1144 1248 1408 1664 1689 1716 2112 2252 2288 2496 2816 3328 3378 3432 4224 4504 4576 4992 6193 6756 6864 7319 8448 9008 9152 9984 12386 13512 13728 14638 18016 18304 18579 21957 24772 27024 27456 29276 36032 36608 37158 43914 49544 54048 54912 58552 72064 74316 80509 87828 99088 108096 109824 117104 144128 148632 161018 175656 198176 216192 234208 241527 297264 322036 351312 396352 432384 468416 483054 594528 644072 702624 792704 936832 966108 1189056 1288144 1405248 1585408 1873664 1932216 2378112 2576288 2810496 3864432 4756224 5152576 5620992 7728864 10305152 15457728 20610304 30915456 61830912