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51746364 = 2235139383
BaseRepresentation
bin1100010101100…
…1011000111100
310121100222200000
43011121120330
5101221340424
65045034300
71165560015
oct305313074
9117328600
1051746364
112723389a
12153b5990
13a94a267
146c3000c
1548223c9
hex315963c

51746364 has 72 divisors (see below), whose sum is σ = 136980480. Its totient is φ = 17079984.

The previous prime is 51746339. The next prime is 51746369. The reversal of 51746364 is 46364715.

It is a happy number.

51746364 is a `hidden beast` number, since 5 + 17 + 4 + 636 + 4 = 666.

51746364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51746369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134917 + ... + 135299.

Almost surely, 251746364 is an apocalyptic number.

51746364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51746364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68490240).

51746364 is an abundant number, since it is smaller than the sum of its proper divisors (85234116).

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

51746364 is a wasteful number, since it uses less digits than its factorization.

51746364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51746364 is about 7193.4945610600. The cubic root of 51746364 is about 372.6432678639.

The spelling of 51746364 in words is "fifty-one million, seven hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 383 417 486 556 766 834 972 1149 1251 1532 1668 2298 2502 3447 3753 4596 5004 6894 7506 10341 11259 13788 15012 20682 22518 31023 33777 41364 45036 53237 62046 67554 93069 106474 124092 135108 159711 186138 212948 319422 372276 479133 638844 958266 1437399 1916532 2874798 4312197 5749596 8624394 12936591 17248788 25873182 51746364