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2046488004 = 223411252201
BaseRepresentation
bin111100111111010…
…1110110111000100
312021121211100210000
41321332232313010
513142400104004
6535023201300
7101466601221
oct17176566704
95247740700
102046488004
11960209800
12491446230
13267ca3062
14155b1a948
15be9e6c39
hex79faedc4

2046488004 has 90 divisors (see below), whose sum is σ = 5880607502. Its totient is φ = 620136000.

The previous prime is 2046487991. The next prime is 2046488011. The reversal of 2046488004 is 4008846402.

2046488004 is a `hidden beast` number, since 2 + 0 + 4 + 648 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 79388100 = 44352^2 + 8910^2 .

It is a super-2 number, since 2×20464880042 = 8376226301031808032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2046488004.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13104 + ... + 65304.

Almost surely, 22046488004 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 2046488004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940303751).

2046488004 is an abundant number, since it is smaller than the sum of its proper divisors (3834119498).

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

2046488004 is a wasteful number, since it uses less digits than its factorization.

2046488004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52239 (or 52217 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2046488004 is about 45238.1255579848. The cubic root of 2046488004 is about 1269.6082458790.

The spelling of 2046488004 in words is "two billion, forty-six million, four hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 39204 52201 104402 156603 208804 313206 469809 574211 626412 939618 1148422 1409427 1722633 1879236 2296844 2818854 3445266 4228281 5167899 5637708 6316321 6890532 8456562 10335798 12632642 15503697 16913124 18948963 20671596 25265284 31007394 37897926 46511091 56846889 62014788 75795852 93022182 113693778 170540667 186044364 227387556 341081334 511622001 682162668 1023244002 2046488004