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4921830528 = 27319739241
BaseRepresentation
bin1001001010101110…
…10010110010000000
3110201000021220012120
410211113102302000
540034442034103
62132215524240
7232652604066
oct44527226200
913630256176
104921830528
1120a627713a
12b54389680
136058bc774
14349954036
151dc165253
hex1255d2c80

4921830528 has 128 divisors (see below), whose sum is σ = 13951723200. Its totient is φ = 1532805120.

The previous prime is 4921830503. The next prime is 4921830533. The reversal of 4921830528 is 8250381294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4921830528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527988 + ... + 537228.

Almost surely, 24921830528 is an apocalyptic number.

4921830528 is a gapful number since it is divisible by the number (48) 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 4921830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975861600).

4921830528 is an abundant number, since it is smaller than the sum of its proper divisors (9029892672).

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

4921830528 is a wasteful number, since it uses less digits than its factorization.

4921830528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4921830528 is about 70155.7590508434. The cubic root of 4921830528 is about 1701.0179057292.

The spelling of 4921830528 in words is "four billion, nine hundred twenty-one million, eight hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 73 76 96 114 128 146 152 192 219 228 292 304 384 438 456 584 608 876 912 1168 1216 1387 1752 1824 2336 2432 2774 3504 3648 4161 4672 5548 7008 7296 8322 9241 9344 11096 14016 16644 18482 22192 27723 28032 33288 36964 44384 55446 66576 73928 88768 110892 133152 147856 175579 177536 221784 266304 295712 351158 443568 526737 532608 591424 674593 702316 887136 1053474 1182848 1349186 1404632 1774272 2023779 2106948 2698372 2809264 3548544 4047558 4213896 5396744 5618528 8095116 8427792 10793488 11237056 12817267 16190232 16855584 21586976 22474112 25634534 32380464 33711168 38451801 43173952 51269068 64760928 67422336 76903602 86347904 102538136 129521856 153807204 205076272 259043712 307614408 410152544 615228816 820305088 1230457632 1640610176 2460915264 4921830528