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4921484640 = 253518015693
BaseRepresentation
bin1001001010101011…
…11110010101100000
3110200222122022201220
410211111332111200
540034400002030
62132204255040
7232646633502
oct44525762540
913628568656
104921484640
1120a6060286
12b54241480
136057cb1b7
143498a3d72
151dc0e7a10
hex12557e560

4921484640 has 96 divisors (see below), whose sum is σ = 15514009056. Its totient is φ = 1311436800.

The previous prime is 4921484627. The next prime is 4921484647. The reversal of 4921484640 is 464841294.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×49214846402 = 48442022123511859200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4921484592 and 4921484601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921484647) 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, 861634 + ... + 867326.

It is an arithmetic number, because the mean of its divisors is an integer number (161604261).

Almost surely, 24921484640 is an apocalyptic number.

4921484640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4921484640 is an abundant number, since it is smaller than the sum of its proper divisors (10592524416).

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

4921484640 is a wasteful number, since it uses less digits than its factorization.

4921484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4921484640 is about 70153.2938642228. The cubic root of 4921484640 is about 1700.9780577186.

The spelling of 4921484640 in words is "four billion, nine hundred twenty-one million, four hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1801 3602 5403 5693 7204 9005 10806 11386 14408 17079 18010 21612 22772 27015 28465 28816 34158 36020 43224 45544 54030 56930 57632 68316 72040 85395 86448 91088 108060 113860 136632 144080 170790 172896 182176 216120 227720 273264 288160 341580 432240 455440 546528 683160 864480 910880 1366320 2732640 10253093 20506186 30759279 41012372 51265465 61518558 82024744 102530930 123037116 153796395 164049488 205061860 246074232 307592790 328098976 410123720 492148464 615185580 820247440 984296928 1230371160 1640494880 2460742320 4921484640