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52695648 = 25321747229
BaseRepresentation
bin1100100100000…
…1001001100000
310200011012211200
43021001021200
5101442230043
65121241200
71206622425
oct311011140
9120135750
1052695648
1127822025
1215793200
13abc0375
146dd9d4c
15495d7d3
hex3241260

52695648 has 144 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 16109568.

The previous prime is 52695647. The next prime is 52695653. The reversal of 52695648 is 84659625.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52695641) 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, 229998 + ... + 230226.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 252695648 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 52695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

52695648 is an abundant number, since it is smaller than the sum of its proper divisors (110056032).

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

52695648 is a wasteful number, since it uses less digits than its factorization.

52695648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 52695648 is about 7259.1768128349. The cubic root of 52695648 is about 374.9081801862.

The spelling of 52695648 in words is "fifty-two million, six hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 68 72 94 96 102 136 141 144 153 188 204 229 272 282 288 306 376 408 423 458 544 564 612 687 752 799 816 846 916 1128 1224 1374 1504 1598 1632 1692 1832 2061 2256 2397 2448 2748 3196 3384 3664 3893 4122 4512 4794 4896 5496 6392 6768 7191 7328 7786 8244 9588 10763 10992 11679 12784 13536 14382 15572 16488 19176 21526 21984 23358 25568 28764 31144 32289 32976 35037 38352 43052 46716 57528 62288 64578 65952 70074 76704 86104 93432 96867 115056 124576 129156 140148 172208 182971 186864 193734 230112 258312 280296 344416 365942 373728 387468 516624 548913 560592 731884 774936 1033248 1097826 1121184 1463768 1549872 1646739 2195652 2927536 3099744 3293478 4391304 5855072 6586956 8782608 13173912 17565216 26347824 52695648