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5482120752 = 2432615711093
BaseRepresentation
bin1010001101100001…
…01000011000110000
3112011001120120220100
411012300220120300
542211410331002
62303552512400
7252565154223
oct50660503060
915131516810
105482120752
112363572509
12108bb4b700
136949c3944
143a01215ba
1522143c11c
hex146c28630

5482120752 has 120 divisors (see below), whose sum is σ = 15635439248. Its totient is φ = 1792627200.

The previous prime is 5482120751. The next prime is 5482120757. The reversal of 5482120752 is 2570212845.

It is a happy number.

5482120752 is a `hidden beast` number, since 5 + 482 + 120 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5482120751) 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, 5015118 + ... + 5016210.

Almost surely, 25482120752 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 5482120752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817719624).

5482120752 is an abundant number, since it is smaller than the sum of its proper divisors (10153318496).

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

5482120752 is a wasteful number, since it uses less digits than its factorization.

5482120752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5482120752 is about 74041.3448824371. The cubic root of 5482120752 is about 1763.2593648319.

The spelling of 5482120752 in words is "five billion, four hundred eighty-two million, one hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 571 732 976 1093 1098 1142 1464 1713 2186 2196 2284 2928 3279 3426 4372 4392 4568 5139 6558 6852 8744 8784 9136 9837 10278 13116 13704 17488 19674 20556 26232 27408 34831 39348 41112 52464 66673 69662 78696 82224 104493 133346 139324 157392 200019 208986 266692 278648 313479 400038 417972 533384 557296 600057 624103 626958 800076 835944 1066768 1200114 1248206 1253916 1600152 1671888 1872309 2400228 2496412 2507832 3200304 3744618 4800456 4992824 5015664 5616927 7489236 9600912 9985648 11233854 14978472 22467708 29956944 38070283 44935416 76140566 89870832 114210849 152281132 228421698 304562264 342632547 456843396 609124528 685265094 913686792 1370530188 1827373584 2741060376 5482120752