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274729728 = 2837133931
BaseRepresentation
bin10000011000000…
…000101100000000
3201010221201100010
4100120000230000
51030312322403
643132224520
76544110210
oct2030005400
9633851303
10274729728
11131094569
127800b140
1344bc0890
14286b6240
15191bb603
hex10600b00

274729728 has 144 divisors (see below), whose sum is σ = 900144896. Its totient is φ = 72437760.

The previous prime is 274729727. The next prime is 274729753. The reversal of 274729728 is 827927472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (274729727) 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, 67923 + ... + 71853.

Almost surely, 2274729728 is an apocalyptic number.

274729728 is a gapful number since it is divisible by the number (28) 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 274729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450072448).

274729728 is an abundant number, since it is smaller than the sum of its proper divisors (625415168).

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

274729728 is a wasteful number, since it uses less digits than its factorization.

274729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3956 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 274729728 is about 16574.9729411544. The cubic root of 274729728 is about 650.0826151402.

The spelling of 274729728 in words is "two hundred seventy-four million, seven hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 3931 4368 4992 5376 5824 7862 8736 9984 11648 11793 15724 17472 23296 23586 27517 31448 34944 47172 51103 55034 62896 69888 82551 94344 102206 110068 125792 153309 165102 188688 204412 220136 251584 306618 330204 357721 377376 408824 440272 503168 613236 660408 715442 754752 817648 880544 1006336 1073163 1226472 1320816 1430884 1509504 1635296 1761088 2146326 2452944 2641632 2861768 3019008 3270592 3522176 4292652 4905888 5283264 5723536 6541184 7044352 8585304 9811776 10566528 11447072 13082368 17170608 19623552 21133056 22894144 34341216 39247104 45788288 68682432 91576576 137364864 274729728