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2089742328 = 233467127379
BaseRepresentation
bin111110010001110…
…1110111111111000
312101122012220120000
41330203232333320
513234433223303
6543210233000
7102533342142
oct17443567770
95348186500
102089742328
11982672383
124a3a25760
13273c38c2b
1415b779c92
15c36dcda3
hex7c8eeff8

2089742328 has 160 divisors (see below), whose sum is σ = 6003148800. Its totient is φ = 678984768.

The previous prime is 2089742297. The next prime is 2089742329. The reversal of 2089742328 is 8232479802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089742329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5513643 + ... + 5514021.

It is an arithmetic number, because the mean of its divisors is an integer number (37519680).

Almost surely, 22089742328 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 2089742328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001574400).

2089742328 is an abundant number, since it is smaller than the sum of its proper divisors (3913406472).

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

2089742328 is a wasteful number, since it uses less digits than its factorization.

2089742328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2089742328 is about 45713.6995658851. The cubic root of 2089742328 is about 1278.4907194408.

The spelling of 2089742328 in words is "two billion, eighty-nine million, seven hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 127 134 162 201 216 254 268 324 379 381 402 508 536 603 648 758 762 804 1016 1137 1143 1206 1516 1524 1608 1809 2274 2286 2412 3032 3048 3411 3429 3618 4548 4572 4824 5427 6822 6858 7236 8509 9096 9144 10233 10287 10854 13644 13716 14472 17018 20466 20574 21708 25393 25527 27288 27432 30699 34036 40932 41148 43416 48133 50786 51054 61398 68072 76179 76581 81864 82296 96266 101572 102108 122796 144399 152358 153162 192532 203144 204216 228537 229743 245592 288798 304716 306324 385064 433197 457074 459486 577596 609432 612648 685611 689229 866394 914148 918972 1155192 1299591 1371222 1378458 1732788 1828296 1837944 2056833 2599182 2742444 2756916 3224911 3465576 3898773 4113666 5198364 5484888 5513832 6449822 7797546 8227332 9674733 10396728 12899644 15595092 16454664 19349466 25799288 29024199 31190184 38698932 58048398 77397864 87072597 116096796 174145194 232193592 261217791 348290388 522435582 696580776 1044871164 2089742328