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52745472 = 283313587
BaseRepresentation
bin1100100100110…
…1010100000000
310200020202012000
43021031110000
5102000323342
65122304000
71210220613
oct311152400
9120222160
1052745472
11278564aa
12157b8000
13ac09c50
14701017a
15496d44c
hex324d500

52745472 has 144 divisors (see below), whose sum is σ = 168262080. Its totient is φ = 16201728.

The previous prime is 52745471. The next prime is 52745503. The reversal of 52745472 is 27454725.

It is a happy number.

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 (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52745471) 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, 89563 + ... + 90149.

Almost surely, 252745472 is an apocalyptic number.

52745472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84131040).

52745472 is an abundant number, since it is smaller than the sum of its proper divisors (115516608).

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

52745472 is a wasteful number, since it uses less digits than its factorization.

52745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 52745472 is about 7262.6077961019. The cubic root of 52745472 is about 375.0263021551.

The spelling of 52745472 in words is "fifty-two million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 587 624 702 768 832 864 936 1152 1174 1248 1404 1664 1728 1761 1872 2304 2348 2496 2808 3328 3456 3522 3744 4696 4992 5283 5616 6912 7044 7488 7631 9392 9984 10566 11232 14088 14976 15262 15849 18784 21132 22464 22893 28176 29952 30524 31698 37568 42264 44928 45786 56352 61048 63396 68679 75136 84528 89856 91572 112704 122096 126792 137358 150272 169056 183144 206037 225408 244192 253584 274716 338112 366288 412074 450816 488384 507168 549432 676224 732576 824148 976768 1014336 1098864 1352448 1465152 1648296 1953536 2028672 2197728 2930304 3296592 4057344 4395456 5860608 6593184 8790912 13186368 17581824 26372736 52745472