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5254105440 = 253554120233
BaseRepresentation
bin1001110010010101…
…10100100101100000
3111120011112012200210
410321022310211200
541230022333230
62225205414120
7244126105443
oct47112644540
914504465623
105254105440
112256895201
12102770a340
136596aab3c
1437bb2965a
1520b3ebeb0
hex1392b4960

5254105440 has 96 divisors (see below), whose sum is σ = 16581843936. Its totient is φ = 1398435840.

The previous prime is 5254105429. The next prime is 5254105447. The reversal of 5254105440 is 445014525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5254105398 and 5254105407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254105447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249564 + ... + 269796.

It is an arithmetic number, because the mean of its divisors is an integer number (172727541).

Almost surely, 25254105440 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 5254105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290921968).

5254105440 is an abundant number, since it is smaller than the sum of its proper divisors (11327738496).

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

5254105440 is a wasteful number, since it uses less digits than its factorization.

5254105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20792 (or 20784 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 5254105440 is about 72485.2084221326. The cubic root of 5254105440 is about 1738.4662399233.

Adding to 5254105440 its reverse (445014525), we get a palindrome (5699119965).

The spelling of 5254105440 in words is "five billion, two hundred fifty-four million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 541 1082 1623 2164 2705 3246 4328 5410 6492 8115 8656 10820 12984 16230 17312 20233 21640 25968 32460 40466 43280 51936 60699 64920 80932 86560 101165 121398 129840 161864 202330 242796 259680 303495 323728 404660 485592 606990 647456 809320 971184 1213980 1618640 1942368 2427960 3237280 4855920 9711840 10946053 21892106 32838159 43784212 54730265 65676318 87568424 109460530 131352636 164190795 175136848 218921060 262705272 328381590 350273696 437842120 525410544 656763180 875684240 1050821088 1313526360 1751368480 2627052720 5254105440