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52757040 = 24357311013
BaseRepresentation
bin1100100101000…
…0001000110000
310200021100001110
43021100020300
5102001211130
65122433320
71210266420
oct311201060
9120240043
1052757040
1127864166
1215802840
13ac122ab
147014480
154971ab0
hex3250230

52757040 has 160 divisors (see below), whose sum is σ = 193130496. Its totient is φ = 11658240.

The previous prime is 52757021. The next prime is 52757057. The reversal of 52757040 is 4075725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52756989 and 52757007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51574 + ... + 52586.

Almost surely, 252757040 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 52757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96565248).

52757040 is an abundant number, since it is smaller than the sum of its proper divisors (140373456).

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

52757040 is a wasteful number, since it uses less digits than its factorization.

52757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 52757040 is about 7263.4041605848. The cubic root of 52757040 is about 375.0537167494.

The spelling of 52757040 in words is "fifty-two million, seven hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1013 1085 1240 1302 1488 1680 1736 1860 2026 2170 2480 2604 3039 3255 3472 3720 4052 4340 5065 5208 6078 6510 7091 7440 8104 8680 10130 10416 12156 13020 14182 15195 16208 17360 20260 21273 24312 26040 28364 30390 31403 35455 40520 42546 48624 52080 56728 60780 62806 70910 81040 85092 94209 106365 113456 121560 125612 141820 157015 170184 188418 212730 219821 243120 251224 283640 314030 340368 376836 425460 439642 471045 502448 567280 628060 659463 753672 850920 879284 942090 1099105 1256120 1318926 1507344 1701840 1758568 1884180 2198210 2512240 2637852 3297315 3517136 3768360 4396420 5275704 6594630 7536720 8792840 10551408 13189260 17585680 26378520 52757040