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5240554272 = 2532294571373
BaseRepresentation
bin1001110000101110…
…01000001100100000
3111112020000201222200
410320113020030200
541213040214042
62224003133200
7243602655612
oct47027101440
914466021880
105240554272
11224a179a98
121023074200
13656944ab5
14379ddcdb2
1520a121c4c
hex1385c8320

5240554272 has 144 divisors (see below), whose sum is σ = 15461704440. Its totient is φ = 1681698816.

The previous prime is 5240554271. The next prime is 5240554313. The reversal of 5240554272 is 2724550425.

5240554272 is a `hidden beast` number, since 5 + 2 + 40 + 5 + 542 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5103102096 + 137452176 = 71436^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5240554271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816178 + ... + 3817550.

Almost surely, 25240554272 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 5240554272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730852220).

5240554272 is an abundant number, since it is smaller than the sum of its proper divisors (10221150168).

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

5240554272 is a wasteful number, since it uses less digits than its factorization.

5240554272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5240554272 is about 72391.6726702733. The cubic root of 5240554272 is about 1736.9703601204.

The spelling of 5240554272 in words is "five billion, two hundred forty million, five hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 457 464 522 696 914 928 1044 1371 1373 1392 1828 2088 2742 2746 2784 3656 4113 4119 4176 5484 5492 7312 8226 8238 8352 10968 10984 12357 13253 14624 16452 16476 21936 21968 24714 26506 32904 32952 39759 39817 43872 43936 49428 53012 65808 65904 79518 79634 98856 106024 119277 119451 131616 131808 159036 159268 197712 212048 238554 238902 318072 318536 358353 395424 424096 477108 477804 627461 636144 637072 716706 954216 955608 1254922 1272288 1274144 1433412 1882383 1908432 1911216 2509844 2866824 3764766 3816864 3822432 5019688 5647149 5733648 7529532 10039376 11294298 11467296 15059064 18196369 20078752 22588596 30118128 36392738 45177192 54589107 60236256 72785476 90354384 109178214 145570952 163767321 180708768 218356428 291141904 327534642 436712856 582283808 655069284 873425712 1310138568 1746851424 2620277136 5240554272