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1914498828 = 2235111371307
BaseRepresentation
bin111001000011100…
…1110111100001100
311221102110121200000
41302013032330030
512410102430303
6513550204300
765304654144
oct16207167414
94842417600
101914498828
118a2759340
124551b3690
1324683c058
1414239d924
15b3123da3
hex721cef0c

1914498828 has 144 divisors (see below), whose sum is σ = 5519090304. Its totient is φ = 575475840.

The previous prime is 1914498811. The next prime is 1914498841. The reversal of 1914498828 is 8288944191.

It is a happy number.

1914498828 is a `hidden beast` number, since 191 + 449 + 8 + 8 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464151 + ... + 1465457.

It is an arithmetic number, because the mean of its divisors is an integer number (38327016).

Almost surely, 21914498828 is an apocalyptic number.

1914498828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914498828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759545152).

1914498828 is an abundant number, since it is smaller than the sum of its proper divisors (3604591476).

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

1914498828 is a wasteful number, since it uses less digits than its factorization.

1914498828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1460 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 1914498828 is about 43754.9863215611. The cubic root of 1914498828 is about 1241.7048237832.

The spelling of 1914498828 in words is "one billion, nine hundred fourteen million, four hundred ninety-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 137 162 198 243 274 297 324 396 411 486 548 594 822 891 972 1188 1233 1307 1507 1644 1782 2466 2614 2673 3014 3564 3699 3921 4521 4932 5228 5346 6028 7398 7842 9042 10692 11097 11763 13563 14377 14796 15684 18084 22194 23526 27126 28754 33291 35289 40689 43131 44388 47052 54252 57508 66582 70578 81378 86262 105867 122067 129393 133164 141156 162756 172524 179059 211734 244134 258786 317601 358118 366201 388179 423468 488268 517572 537177 635202 716236 732402 776358 1074354 1164537 1270404 1464804 1552716 1611531 1969649 2148708 2329074 3223062 3493611 3939298 4658148 4834593 5908947 6446124 6987222 7878596 9669186 11817894 13974444 14503779 17726841 19338372 23635788 29007558 35453682 43511337 53180523 58015116 70907364 87022674 106361046 159541569 174045348 212722092 319083138 478624707 638166276 957249414 1914498828