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2045048148 = 2235111314713
BaseRepresentation
bin111100111100100…
…1111010101010100
312021112010012200000
41321321033111110
513142013020043
6534532251300
7101451423333
oct17171172524
95245105600
102045048148
1195a415a40
12490a70b30
132678ba880
14155863d1a
15be8102d3
hex79e4f554

2045048148 has 144 divisors (see below), whose sum is σ = 6298533696. Its totient is φ = 572002560.

The previous prime is 2045048023. The next prime is 2045048149. The reversal of 2045048148 is 8418405402.

2045048148 is a `hidden beast` number, since 2 + 0 + 4 + 504 + 8 + 148 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045048149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131640 + ... + 146352.

Almost surely, 22045048148 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 2045048148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149266848).

2045048148 is an abundant number, since it is smaller than the sum of its proper divisors (4253485548).

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

2045048148 is a wasteful number, since it uses less digits than its factorization.

2045048148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2045048148 is about 45222.2085705685. The cubic root of 2045048148 is about 1269.3104215187.

The spelling of 2045048148 in words is "two billion, forty-five million, forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 702 858 891 972 1053 1188 1287 1404 1716 1782 2106 2574 2673 3159 3564 3861 4212 5148 5346 6318 7722 10692 11583 12636 14713 15444 23166 29426 34749 44139 46332 58852 69498 88278 132417 138996 161843 176556 191269 264834 323686 382538 397251 485529 529668 573807 647372 765076 794502 971058 1147614 1191753 1456587 1589004 1721421 1942116 2103959 2295228 2383506 2913174 3442842 3575259 4207918 4369761 4767012 5164263 5826348 6311877 6885684 7150518 8415836 8739522 10328526 12623754 13109283 14301036 15492789 17479044 18935631 20657052 25247508 26218566 30985578 37871262 39327849 46478367 52437132 56806893 61971156 75742524 78655698 92956734 113613786 157311396 170420679 185913468 227227572 340841358 511262037 681682716 1022524074 2045048148