Search a number
-
+
52740480 = 2735132113
BaseRepresentation
bin1100100100110…
…0000110000000
310200020111100010
43021030012000
5102000143410
65122224520
71210200222
oct311140600
9120214303
1052740480
1127852781
12157b5140
13ac078b0
14700c412
15496bc20
hex324c180

52740480 has 128 divisors (see below), whose sum is σ = 181127520. Its totient is φ = 12976128.

The previous prime is 52740463. The next prime is 52740497. The reversal of 52740480 is 8404725.

It is an interprime number because it is at equal distance from previous prime (52740463) and next prime (52740497).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23904 + ... + 26016.

Almost surely, 252740480 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 52740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90563760).

52740480 is an abundant number, since it is smaller than the sum of its proper divisors (128387040).

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

52740480 is a wasteful number, since it uses less digits than its factorization.

52740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 52740480 is about 7262.2641097663. The cubic root of 52740480 is about 375.0144705527.

The spelling of 52740480 in words is "fifty-two million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2113 2496 3120 4160 4226 4992 6240 6339 8320 8452 10565 12480 12678 16904 21130 24960 25356 27469 31695 33808 42260 50712 54938 63390 67616 82407 84520 101424 109876 126780 135232 137345 164814 169040 202848 219752 253560 270464 274690 329628 338080 405696 412035 439504 507120 549380 659256 676160 811392 824070 879008 1014240 1098760 1318512 1352320 1648140 1758016 2028480 2197520 2637024 3296280 3516032 4056960 4395040 5274048 6592560 8790080 10548096 13185120 17580160 26370240 52740480