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4054752 = 253313192
BaseRepresentation
bin1111011101111011100000
321122000002000
433131323200
52014223002
6222524000
746315302
oct17357340
97560060
104054752
11231a439
121436600
13abc780
14777972
1555161c
hex3ddee0

4054752 has 144 divisors (see below), whose sum is σ = 13441680. Its totient is φ = 1181952.

The previous prime is 4054741. The next prime is 4054753. The reversal of 4054752 is 2574504.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054753) 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, 213399 + ... + 213417.

It is an arithmetic number, because the mean of its divisors is an integer number (93345).

Almost surely, 24054752 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 4054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720840).

4054752 is an abundant number, since it is smaller than the sum of its proper divisors (9386928).

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

4054752 is a wasteful number, since it uses less digits than its factorization.

4054752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 4054752 is about 2013.6414775227. The cubic root of 4054752 is about 159.4611036464.

The spelling of 4054752 in words is "four million, fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 72 76 78 96 104 108 114 117 144 152 156 171 208 216 228 234 247 288 304 312 342 351 361 416 432 456 468 494 513 608 624 684 702 722 741 864 912 936 988 1026 1083 1248 1368 1404 1444 1482 1824 1872 1976 2052 2166 2223 2736 2808 2888 2964 3249 3744 3952 4104 4332 4446 4693 5472 5616 5776 5928 6498 6669 7904 8208 8664 8892 9386 9747 11232 11552 11856 12996 13338 14079 16416 17328 17784 18772 19494 23712 25992 26676 28158 34656 35568 37544 38988 42237 51984 53352 56316 71136 75088 77976 84474 103968 106704 112632 126711 150176 155952 168948 213408 225264 253422 311904 337896 450528 506844 675792 1013688 1351584 2027376 4054752