[go: up one dir, main page]

Search a number
-
+
61960248 = 2333743953
BaseRepresentation
bin1110110001011…
…1000000111000
311022120220111000
43230113000320
5111330211443
610052005000
71351440060
oct354270070
9138526430
1061960248
1131a7a719
1218900760
13cab528c
14832c3a0
15568d8d3
hex3b17038

61960248 has 128 divisors (see below), whose sum is σ = 201484800. Its totient is φ = 17273088.

The previous prime is 61960231. The next prime is 61960259. The reversal of 61960248 is 84206916.

61960248 is a `hidden beast` number, since 6 + 1 + 9 + 602 + 48 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64540 + ... + 65492.

It is an arithmetic number, because the mean of its divisors is an integer number (1574100).

Almost surely, 261960248 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 61960248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100742400).

61960248 is an abundant number, since it is smaller than the sum of its proper divisors (139524552).

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

61960248 is a wasteful number, since it uses less digits than its factorization.

61960248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61960248 is about 7871.4832147442. The cubic root of 61960248 is about 395.7045546537.

The spelling of 61960248 in words is "sixty-one million, nine hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 953 1032 1161 1204 1512 1548 1806 1906 2322 2408 2709 2859 3096 3612 3812 4644 5418 5718 6671 7224 7624 8127 8577 9288 10836 11436 13342 16254 17154 20013 21672 22872 25731 26684 32508 34308 40026 40979 51462 53368 60039 65016 68616 80052 81958 102924 120078 122937 160104 163916 180117 205848 240156 245874 286853 327832 360234 368811 480312 491748 573706 720468 737622 860559 983496 1106433 1147412 1440936 1475244 1721118 2212866 2294824 2581677 2950488 3442236 4425732 5163354 6884472 7745031 8851464 10326708 15490062 20653416 30980124 61960248