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8630038404 = 22341323972
BaseRepresentation
bin10000000100110001…
…11110111110000100
3211021102221101010000
420002120332332010
5120133242212104
63544203401300
7423601054551
oct100230767604
924242841100
108630038404
113729482649
12180a223230
13a76c28300
145bc22da28
1535799d639
hex20263ef84

8630038404 has 135 divisors (see below), whose sum is σ = 24491243007. Its totient is φ = 2648707776.

The previous prime is 8630038367. The next prime is 8630038441. The reversal of 8630038404 is 4048300368.

The square root of 8630038404 is 92898.

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

It is an interprime number because it is at equal distance from previous prime (8630038367) and next prime (8630038441).

It can be written as a sum of positive squares in 4 ways, for example, as 399920004 + 8230118400 = 19998^2 + 90720^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21737934 + ... + 21738330.

Almost surely, 28630038404 is an apocalyptic number.

8630038404 is the 92898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8630038404

8630038404 is an abundant number, since it is smaller than the sum of its proper divisors (15861204603).

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

8630038404 is a wasteful number, since it uses less digits than its factorization.

8630038404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 8630038404 is about 2051.1822174795.

Multiplying 8630038404 by its sum of digits (36), we get a square (310681382544 = 5573882).

8630038404 divided by its sum of digits (36) gives a square (239723289 = 154832).

The spelling of 8630038404 in words is "eight billion, six hundred thirty million, thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 397 468 507 676 702 794 1014 1053 1191 1404 1521 1588 2028 2106 2382 3042 3573 4212 4563 4764 5161 6084 7146 9126 10322 10719 13689 14292 15483 18252 20644 21438 27378 30966 32157 42876 46449 54756 61932 64314 67093 92898 128628 134186 139347 157609 185796 201279 268372 278694 315218 402558 418041 472827 557388 603837 630436 805116 836082 945654 1207674 1418481 1672164 1811511 1891308 2048917 2415348 2836962 3623022 4097834 4255443 5434533 5673924 6146751 7246044 8195668 8510886 10869066 12293502 12766329 17021772 18440253 21738132 24587004 25532658 26635921 36880506 51065316 53271842 55320759 73761012 79907763 106543684 110641518 159815526 165962277 221283036 239723289 319631052 331924554 479446578 663849108 719169867 958893156 1438339734 2157509601 2876679468 4315019202 8630038404