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51601914 = 23371310501
BaseRepresentation
bin1100010011011…
…0000111111010
310121002122112000
43010312013322
5101202230124
65042001430
71164415620
oct304660772
9117078460
1051601914
1127145311
1215346276
13a8c95a0
146bd3510
1547e46c9
hex31361fa

51601914 has 64 divisors (see below), whose sum is σ = 141146880. Its totient is φ = 13608000.

The previous prime is 51601889. The next prime is 51601981. The reversal of 51601914 is 41910615.

51601914 is a `hidden beast` number, since 51 + 601 + 9 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 337 + ... + 10164.

It is an arithmetic number, because the mean of its divisors is an integer number (2205420).

Almost surely, 251601914 is an apocalyptic number.

51601914 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51601914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70573440).

51601914 is an abundant number, since it is smaller than the sum of its proper divisors (89544966).

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

51601914 is a wasteful number, since it uses less digits than its factorization.

51601914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 51601914 is about 7183.4472226084. The cubic root of 51601914 is about 372.2962000961.

The spelling of 51601914 in words is "fifty-one million, six hundred one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 10501 21002 31503 63006 73507 94509 136513 147014 189018 220521 273026 283527 409539 441042 567054 661563 819078 955591 1228617 1323126 1911182 1984689 2457234 2866773 3685851 3969378 5733546 7371702 8600319 17200638 25800957 51601914