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4025054430 = 23551987179
BaseRepresentation
bin1110111111101001…
…0111010011011110
3101101111211221200000
43233322113103132
531220403220210
61503222515130
7201513253365
oct35772272336
911344757600
104025054430
111786046a71
12943b95aa6
134c1b84617
142a27d67dc
15188573ac0
hexefe974de

4025054430 has 96 divisors (see below), whose sum is σ = 11424067200. Its totient is φ = 1016844192.

The previous prime is 4025054393. The next prime is 4025054443. The reversal of 4025054430 is 344505204.

4025054430 is a `hidden beast` number, since 40 + 2 + 50 + 544 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4025054394 and 4025054403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581 + ... + 89759.

It is an arithmetic number, because the mean of its divisors is an integer number (119000700).

Almost surely, 24025054430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025054430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712033600).

4025054430 is an abundant number, since it is smaller than the sum of its proper divisors (7399012770).

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

4025054430 is a wasteful number, since it uses less digits than its factorization.

4025054430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87220 (or 87208 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4025054430 is about 63443.3166692915. The cubic root of 4025054430 is about 1590.7084418641.

Adding to 4025054430 its reverse (344505204), we get a palindrome (4369559634).

The spelling of 4025054430 in words is "four billion, twenty-five million, fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9234 15390 23085 46170 87179 174358 261537 435895 523074 784611 871790 1307685 1569222 1656401 2353833 2615370 3312802 3923055 4707666 4969203 7061499 7846110 8282005 9938406 11769165 14122998 14907609 16564010 21184497 23538330 24846015 29815218 35307495 42368994 44722827 49692030 70614990 74538045 89445654 105922485 134168481 149076090 211844970 223614135 268336962 402505443 447228270 670842405 805010886 1341684810 2012527215 4025054430