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5830006624 = 251314014439
BaseRepresentation
bin1010110110111111…
…01101011101100000
3120001022012000121021
411123133231131200
543414440202444
62402301135224
7264321144601
oct53337553540
916038160537
105830006624
1125219832a2
12116855a514
1371bab9780
143d43dbda8
15241c59584
hex15b7ed760

5830006624 has 24 divisors (see below), whose sum is σ = 12360736080. Its totient is φ = 2690772096.

The previous prime is 5830006621. The next prime is 5830006631. The reversal of 5830006624 is 4266000385.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5830006624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830006621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7006804 + ... + 7007635.

It is an arithmetic number, because the mean of its divisors is an integer number (515030670).

Almost surely, 25830006624 is an apocalyptic number.

It is an amenable number.

5830006624 is an abundant number, since it is smaller than the sum of its proper divisors (6530729456).

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

5830006624 is a wasteful number, since it uses less digits than its factorization.

5830006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014462 (or 14014454 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 5830006624 is about 76354.4800519262. The cubic root of 5830006624 is about 1799.7948967948.

The spelling of 5830006624 in words is "five billion, eight hundred thirty million, six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 14014439 28028878 56057756 112115512 182187707 224231024 364375414 448462048 728750828 1457501656 2915003312 5830006624