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61690608 = 2432731249
BaseRepresentation
bin1110101101010…
…1001011110000
311022002012121100
43223111023300
5111243044413
610042124400
71346235000
oct353251360
9138065540
1061690608
1131906081
12187b0700
13ca1c625
14829c000
155638a73
hex3ad52f0

61690608 has 120 divisors (see below), whose sum is σ = 201500000. Its totient is φ = 17611776.

The previous prime is 61690591. The next prime is 61690613. The reversal of 61690608 is 80609616.

It is a super-3 number, since 3×616906083 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 48768 + ... + 50016.

Almost surely, 261690608 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 61690608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100750000).

61690608 is an abundant number, since it is smaller than the sum of its proper divisors (139809392).

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

61690608 is a wasteful number, since it uses less digits than its factorization.

61690608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61690608 is about 7854.3368911704. The cubic root of 61690608 is about 395.1297079767.

The spelling of 61690608 in words is "sixty-one million, six hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1249 1372 1764 2058 2352 2498 2744 3087 3528 3747 4116 4996 5488 6174 7056 7494 8232 8743 9992 11241 12348 14988 16464 17486 19984 22482 24696 26229 29976 34972 44964 49392 52458 59952 61201 69944 78687 89928 104916 122402 139888 157374 179856 183603 209832 244804 314748 367206 419664 428407 489608 550809 629496 734412 856814 979216 1101618 1258992 1285221 1468824 1713628 2203236 2570442 2937648 3427256 3855663 4406472 5140884 6854512 7711326 8812944 10281768 15422652 20563536 30845304 61690608