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538722744 = 2337231071303
BaseRepresentation
bin100000000111000…
…100000110111000
31101112200221200020
4200013010012320
52100403111434
6125242410440
716231032150
oct4007040670
91345627606
10538722744
1125710540a
12130500a20
13877c2471
1451795760
1532466849
hex201c41b8

538722744 has 128 divisors (see below), whose sum is σ = 1622384640. Its totient is φ = 145740672.

The previous prime is 538722733. The next prime is 538722757. The reversal of 538722744 is 447227835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 538722696 and 538722705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412797 + ... + 414099.

It is an arithmetic number, because the mean of its divisors is an integer number (12674880).

Almost surely, 2538722744 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 538722744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811192320).

538722744 is an abundant number, since it is smaller than the sum of its proper divisors (1083661896).

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

538722744 is a wasteful number, since it uses less digits than its factorization.

538722744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1445 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 538722744 is about 23210.4016337503. The cubic root of 538722744 is about 813.6827399275.

It can be divided in two parts, 53872 and 2744, that added together give a triangular number (56616 = T336).

The spelling of 538722744 in words is "five hundred thirty-eight million, seven hundred twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 107 138 161 168 184 214 276 321 322 428 483 552 642 644 749 856 966 1284 1288 1303 1498 1932 2247 2461 2568 2606 2996 3864 3909 4494 4922 5212 5992 7383 7818 8988 9121 9844 10424 14766 15636 17227 17976 18242 19688 27363 29532 29969 31272 34454 36484 51681 54726 59064 59938 68908 72968 89907 103362 109452 119876 137816 139421 179814 206724 209783 218904 239752 278842 359628 413448 418263 419566 557684 629349 719256 836526 839132 975947 1115368 1258698 1673052 1678264 1951894 2517396 2927841 3206683 3346104 3903788 5034792 5855682 6413366 7807576 9620049 11711364 12826732 19240098 22446781 23422728 25653464 38480196 44893562 67340343 76960392 89787124 134680686 179574248 269361372 538722744