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52449408 = 2732114139
BaseRepresentation
bin1100100000010…
…1000010000000
310122200201001200
43020011002000
5101411340113
65112101200
71204545504
oct310050200
9118621050
1052449408
1127674020
1215694800
13ab3526b
146d74304
154910873
hex3205080

52449408 has 96 divisors (see below), whose sum is σ = 164689200. Its totient is φ = 15889920.

The previous prime is 52449359. The next prime is 52449451. The reversal of 52449408 is 80494425.

52449408 is a `hidden beast` number, since 5 + 244 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10603 + ... + 14741.

Almost surely, 252449408 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 52449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82344600).

52449408 is an abundant number, since it is smaller than the sum of its proper divisors (112239792).

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

52449408 is a wasteful number, since it uses less digits than its factorization.

52449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52449408 is about 7242.1963519363. The cubic root of 52449408 is about 374.3233022817.

The spelling of 52449408 in words is "fifty-two million, four hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4139 4224 6336 8278 12417 12672 16556 24834 33112 37251 45529 49668 66224 74502 91058 99336 132448 136587 149004 182116 198672 264896 273174 298008 364232 397344 409761 529792 546348 596016 728464 794688 819522 1092696 1192032 1456928 1589376 1639044 2185392 2384064 2913856 3278088 4370784 4768128 5827712 6556176 8741568 13112352 17483136 26224704 52449408