Search a number
-
+
52377792 = 2633773101
BaseRepresentation
bin1100011111001…
…1100011000000
310122120001211020
43013303203000
5101402042132
65110345440
71204126635
oct307634300
9118501736
1052377792
1127625235
121565b280
13ab0b79c
146d5618c
1548e952c
hex31f38c0

52377792 has 112 divisors (see below), whose sum is σ = 145706592. Its totient is φ = 16588800.

The previous prime is 52377791. The next prime is 52377811. The reversal of 52377792 is 29777325.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52377791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518542 + ... + 518642.

Almost surely, 252377792 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 52377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72853296).

52377792 is an abundant number, since it is smaller than the sum of its proper divisors (93328800).

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

52377792 is a wasteful number, since it uses less digits than its factorization.

52377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 185220, while the sum is 42.

The square root of 52377792 is about 7237.2503065736. The cubic root of 52377792 is about 374.1528539127.

The spelling of 52377792 in words is "fifty-two million, three hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 101 111 146 148 192 202 219 222 292 296 303 404 438 444 584 592 606 808 876 888 1168 1184 1212 1616 1752 1776 2336 2368 2424 2701 3232 3504 3552 3737 4672 4848 5402 6464 7008 7104 7373 7474 8103 9696 10804 11211 14016 14746 14948 16206 19392 21608 22119 22422 29492 29896 32412 43216 44238 44844 58984 59792 64824 86432 88476 89688 117968 119584 129648 172864 176952 179376 235936 239168 259296 272801 353904 358752 471872 518592 545602 707808 717504 818403 1091204 1415616 1636806 2182408 3273612 4364816 6547224 8729632 13094448 17459264 26188896 52377792