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5246289408 = 2938938377
BaseRepresentation
bin1001110001011010…
…00000011000000000
3111112121211010010010
410320231000120000
541221022230113
62224330104520
7244002503253
oct47055003000
914477733103
105246289408
112252436978
121024b7b140
13657ba2379
1437aa9309a
1520a8a61c3
hex138b40600

5246289408 has 80 divisors (see below), whose sum is σ = 14133849840. Its totient is φ = 1729069056.

The previous prime is 5246289401. The next prime is 5246289449. The reversal of 5246289408 is 8049826425.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246289401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117516 + ... + 155892.

It is an arithmetic number, because the mean of its divisors is an integer number (176673123).

Almost surely, 25246289408 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 5246289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066924920).

5246289408 is an abundant number, since it is smaller than the sum of its proper divisors (8887560432).

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

5246289408 is an equidigital number, since it uses as much as digits as its factorization.

5246289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38487 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 5246289408 is about 72431.2736875447. The cubic root of 5246289408 is about 1737.6037619175.

The spelling of 5246289408 in words is "five billion, two hundred forty-six million, two hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 5696 8544 11392 17088 22784 34176 38377 45568 68352 76754 115131 136704 153508 230262 307016 460524 614032 921048 1228064 1842096 2456128 3415553 3684192 4912256 6831106 7368384 9824512 10246659 13662212 14736768 19649024 20493318 27324424 29473536 40986636 54648848 58947072 81973272 109297696 163946544 218595392 327893088 437190784 655786176 874381568 1311572352 1748763136 2623144704 5246289408