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5421735252 = 22322921311367
BaseRepresentation
bin1010000110010100…
…10001110101010100
3111222211221200120100
411003022101311110
542100431012002
62253554334100
7251232663213
oct50312216524
914884850510
105421735252
112332478a3a
12107388a330
1368534038b
143960c307a
1521aeb011c
hex143291d54

5421735252 has 108 divisors (see below), whose sum is σ = 14312634336. Its totient is φ = 1730339520.

The previous prime is 5421735233. The next prime is 5421735271. The reversal of 5421735252 is 2525371245.

5421735252 is a `hidden beast` number, since 542 + 17 + 3 + 52 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5421735233) and next prime (5421735271).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3965473 + ... + 3966839.

It is an arithmetic number, because the mean of its divisors is an integer number (132524392).

Almost surely, 25421735252 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 5421735252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156317168).

5421735252 is an abundant number, since it is smaller than the sum of its proper divisors (8890899084).

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

5421735252 is a wasteful number, since it uses less digits than its factorization.

5421735252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1532 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 5421735252 is about 73632.4334244088. The cubic root of 5421735252 is about 1756.7613534067.

The spelling of 5421735252 in words is "five billion, four hundred twenty-one million, seven hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 131 174 261 262 348 393 522 524 786 841 1044 1179 1367 1572 1682 2358 2523 2734 3364 3799 4101 4716 5046 5468 7569 7598 8202 10092 11397 12303 15138 15196 16404 22794 24606 30276 34191 39643 45588 49212 68382 79286 110171 118929 136764 158572 179077 220342 237858 330513 356787 358154 440684 475716 537231 661026 713574 716308 991539 1074462 1149647 1322052 1427148 1611693 1983078 2148924 2299294 3223386 3448941 3966156 4598588 5193233 6446772 6897882 10346823 10386466 13795764 15579699 20693646 20772932 31159398 41387292 46739097 62318796 93478194 150603757 186956388 301207514 451811271 602415028 903622542 1355433813 1807245084 2710867626 5421735252