Search a number
-
+
61257696 = 2531314871
BaseRepresentation
bin1110100110101…
…1011111100000
311021021012202120
43221223133200
5111140221241
610024544240
71342452603
oct351533740
9137235676
1061257696
113163a8a5
1218622080
13c8ca576
1481c833a
1555a0666
hex3a6b7e0

61257696 has 48 divisors (see below), whose sum is σ = 162062208. Its totient is φ = 20259200.

The previous prime is 61257683. The next prime is 61257701. The reversal of 61257696 is 69675216.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10141 + ... + 15011.

It is an arithmetic number, because the mean of its divisors is an integer number (3376296).

Almost surely, 261257696 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 61257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031104).

61257696 is an abundant number, since it is smaller than the sum of its proper divisors (100804512).

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

61257696 is a wasteful number, since it uses less digits than its factorization.

61257696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5007 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 61257696 is about 7826.7295852099. The cubic root of 61257696 is about 394.2032671851.

The spelling of 61257696 in words is "sixty-one million, two hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 4871 6288 9742 12576 14613 19484 29226 38968 58452 77936 116904 155872 233808 467616 638101 1276202 1914303 2552404 3828606 5104808 7657212 10209616 15314424 20419232 30628848 61257696