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5234957964 = 22332313715383
BaseRepresentation
bin1001110000000011…
…10001111010001100
3111111211111102022000
410320001301322030
541210122123324
62223243152300
7243504260055
oct47001617214
914454442260
105234957964
112246aa7445
121021215690
13655735782
1437938372c
152098b89c9
hex138071e8c

5234957964 has 96 divisors (see below), whose sum is σ = 14266506240. Its totient is φ = 1656825984.

The previous prime is 5234957953. The next prime is 5234957977. The reversal of 5234957964 is 4697594325.

5234957964 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 9 + 579 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5234957964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332617 + ... + 347999.

It is an arithmetic number, because the mean of its divisors is an integer number (148609440).

Almost surely, 25234957964 is an apocalyptic number.

5234957964 is a gapful number since it is divisible by the number (54) 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 5234957964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133253120).

5234957964 is an abundant number, since it is smaller than the sum of its proper divisors (9031548276).

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

5234957964 is a wasteful number, since it uses less digits than its factorization.

5234957964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15556 (or 15548 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 5234957964 is about 72353.0093638129. The cubic root of 5234957964 is about 1736.3518451797.

The spelling of 5234957964 in words is "five billion, two hundred thirty-four million, nine hundred fifty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 137 138 207 274 276 411 414 548 621 822 828 1233 1242 1644 2466 2484 3151 3699 4932 6302 7398 9453 12604 14796 15383 18906 28359 30766 37812 46149 56718 61532 85077 92298 113436 138447 170154 184596 276894 340308 353809 415341 553788 707618 830682 1061427 1415236 1661364 2107471 2122854 3184281 4214942 4245708 6322413 6368562 8429884 9552843 12644826 12737124 18967239 19105686 25289652 37934478 38211372 48471833 56901717 75868956 96943666 113803434 145415499 193887332 227606868 290830998 436246497 581661996 872492994 1308739491 1744985988 2617478982 5234957964