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52888752 = 2432771739
BaseRepresentation
bin1100100111000…
…0010010110000
310200112000201200
43021300102300
5102014420002
65125331200
71211355420
oct311602260
9120460650
1052888752
1127944114
1215866b00
13ac5a227
14704a480
15499ab1c
hex32704b0

52888752 has 120 divisors (see below), whose sum is σ = 171774720. Its totient is φ = 14878080.

The previous prime is 52888741. The next prime is 52888757. The reversal of 52888752 is 25788825.

It is a junction number, because it is equal to n+sod(n) for n = 52888698 and 52888707.

It is not an unprimeable number, because it can be changed into a prime (52888757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71199 + ... + 71937.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 252888752 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 52888752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887360).

52888752 is an abundant number, since it is smaller than the sum of its proper divisors (118885968).

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

52888752 is a wasteful number, since it uses less digits than its factorization.

52888752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 52888752 is about 7272.4653316465. The cubic root of 52888752 is about 375.3655741656.

The spelling of 52888752 in words is "fifty-two million, eight hundred eighty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 739 852 994 1008 1136 1278 1478 1491 1704 1988 2217 2556 2956 2982 3408 3976 4434 4473 5112 5173 5912 5964 6651 7952 8868 8946 10224 10346 11824 11928 13302 15519 17736 17892 20692 23856 26604 31038 35472 35784 41384 46557 52469 53208 62076 71568 82768 93114 104938 106416 124152 157407 186228 209876 248304 314814 367283 372456 419752 472221 629628 734566 744912 839504 944442 1101849 1259256 1469132 1888884 2203698 2518512 2938264 3305547 3777768 4407396 5876528 6611094 7555536 8814792 13222188 17629584 26444376 52888752