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61919032 = 23717193337
BaseRepresentation
bin1110110000110…
…0111100111000
311022111210221111
43230030330320
5111322402112
610051050104
71351205650
oct354147470
9138453844
1061919032
1131a5175a
12188a0934
13ca9c5a6
14831b360
1556815a7
hex3b0cf38

61919032 has 64 divisors (see below), whose sum is σ = 141635520. Its totient is φ = 24772608.

The previous prime is 61919023. The next prime is 61919057. The reversal of 61919032 is 23091916.

It is a junction number, because it is equal to n+sod(n) for n = 61918985 and 61919003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183568 + ... + 183904.

It is an arithmetic number, because the mean of its divisors is an integer number (2213055).

Almost surely, 261919032 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 61919032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70817760).

61919032 is an abundant number, since it is smaller than the sum of its proper divisors (79716488).

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

61919032 is a wasteful number, since it uses less digits than its factorization.

61919032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 61919032 is about 7868.8647211653. The cubic root of 61919032 is about 395.6167942098.

The spelling of 61919032 in words is "sixty-one million, nine hundred nineteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 193 238 337 386 476 674 772 952 1348 1351 1544 2359 2696 2702 3281 4718 5404 5729 6562 9436 10808 11458 13124 18872 22916 22967 26248 40103 45832 45934 65041 80206 91868 130082 160412 183736 260164 320824 455287 520328 910574 1105697 1821148 2211394 3642296 4422788 7739879 8845576 15479758 30959516 61919032