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4098522624 = 2937894283
BaseRepresentation
bin1111010001001010…
…0111111000000000
3101120122002112002020
43310102213320000
531343210210444
61514405321440
7203364603360
oct36422477000
911518075066
104098522624
111813566789
12964706280
13504168921
142ac47c9a0
1518ec37119
hexf44a7e00

4098522624 has 160 divisors (see below), whose sum is σ = 12621692160. Its totient is φ = 1157578752.

The previous prime is 4098522601. The next prime is 4098522721. The reversal of 4098522624 is 4262258904.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 954787 + ... + 959069.

It is an arithmetic number, because the mean of its divisors is an integer number (78885576).

Almost surely, 24098522624 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 4098522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310846080).

4098522624 is an abundant number, since it is smaller than the sum of its proper divisors (8523169536).

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

4098522624 is an equidigital number, since it uses as much as digits as its factorization.

4098522624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4098522624 is about 64019.7049665179. The cubic root of 4098522624 is about 1600.3283992583.

The spelling of 4098522624 in words is "four billion, ninety-eight million, five hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 256 267 336 356 384 448 512 534 623 672 712 768 896 1068 1246 1344 1424 1536 1792 1869 2136 2492 2688 2848 3584 3738 4272 4283 4984 5376 5696 7476 8544 8566 9968 10752 11392 12849 14952 17088 17132 19936 22784 25698 29904 29981 34176 34264 39872 45568 51396 59808 59962 68352 68528 79744 89943 102792 119616 119924 136704 137056 159488 179886 205584 239232 239848 274112 318976 359772 381187 411168 478464 479696 548224 719544 762374 822336 956928 959392 1096448 1143561 1439088 1524748 1644672 1918784 2192896 2287122 2668309 2878176 3049496 3289344 3837568 4574244 5336618 5756352 6098992 6578688 7675136 8004927 9148488 10673236 11512704 12197984 15350272 16009854 18296976 21346472 23025408 24395968 32019708 36593952 42692944 46050816 48791936 64039416 73187904 85385888 97583872 128078832 146375808 170771776 195167744 256157664 292751616 341543552 512315328 585503232 683087104 1024630656 1366174208 2049261312 4098522624