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2041955344 = 24112132792
BaseRepresentation
bin111100110110101…
…1100010000010000
312021022022002010201
41321231130100100
513140220032334
6534342104544
7101413222402
oct17155342020
95238262121
102041955344
119586a3300
1248ba1b154
13267076c00
1415529ab72
15be3edc14
hex79b5c410

2041955344 has 135 divisors (see below), whose sum is σ = 4769251389. Its totient is φ = 845919360.

The previous prime is 2041955339. The next prime is 2041955351. The reversal of 2041955344 is 4435591402.

It is a happy number.

The square root of 2041955344 is 45188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 302064400 + 1739890944 = 17380^2 + 41712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25847497 + ... + 25847575.

Almost surely, 22041955344 is an apocalyptic number.

2041955344 is the 45188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041955344

2041955344 is an abundant number, since it is smaller than the sum of its proper divisors (2727296045).

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

2041955344 is a wasteful number, since it uses less digits than its factorization.

2041955344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 2041955344 is about 1268.6702232220.

The spelling of 2041955344 in words is "two billion, forty-one million, nine hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 79 88 104 121 143 158 169 176 208 242 286 316 338 484 572 632 676 869 968 1027 1144 1264 1352 1573 1738 1859 1936 2054 2288 2704 3146 3476 3718 4108 6241 6292 6952 7436 8216 9559 11297 12482 12584 13351 13904 14872 16432 19118 20449 22594 24964 25168 26702 29744 38236 40898 45188 49928 53404 68651 76472 81133 81796 90376 99856 106808 124267 137302 146861 152944 162266 163592 180752 213616 248534 274604 293722 324532 327184 497068 549208 587444 649064 755161 892463 994136 1054729 1098416 1174888 1298128 1510322 1615471 1784926 1988272 2109458 2349776 3020644 3230942 3569852 4218916 6041288 6461884 7139704 8437832 9817093 11602019 12082576 12923768 14279408 16875664 19634186 23204038 25847536 39268372 46408076 78536744 92816152 127622209 157073488 185632304 255244418 510488836 1020977672 2041955344