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52229760 = 2735112473
BaseRepresentation
bin1100011100111…
…1011010000000
310122021112202120
43013033122000
5101332323020
65103244240
71202642232
oct307173200
9118245676
1052229760
1127533aa0
12155a9680
13aa892ab
146d18252
1548ba740
hex31cf680

52229760 has 128 divisors (see below), whose sum is σ = 181690560. Its totient is φ = 12656640.

The previous prime is 52229741. The next prime is 52229767. The reversal of 52229760 is 6792225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52229767) 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, 19884 + ... + 22356.

Almost surely, 252229760 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 52229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90845280).

52229760 is an abundant number, since it is smaller than the sum of its proper divisors (129460800).

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

52229760 is a wasteful number, since it uses less digits than its factorization.

52229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52229760 is about 7227.0159817175. The cubic root of 52229760 is about 373.8000399065.

The spelling of 52229760 in words is "fifty-two million, two hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2473 2640 3520 4224 4946 5280 7040 7419 9892 10560 12365 14838 19784 21120 24730 27203 29676 37095 39568 49460 54406 59352 74190 79136 81609 98920 108812 118704 136015 148380 158272 163218 197840 217624 237408 272030 296760 316544 326436 395680 408045 435248 474816 544060 593520 652872 791360 816090 870496 949632 1088120 1187040 1305744 1582720 1632180 1740992 2176240 2374080 2611488 3264360 3481984 4352480 4748160 5222976 6528720 8704960 10445952 13057440 17409920 26114880 52229760