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1889834496 = 29311373023
BaseRepresentation
bin111000010100100…
…1001011000000000
311212201001112120020
41300221021120000
512332244200441
6511305413440
764555220364
oct16051113000
94781045506
101889834496
1188a8426a0
12448a9a280
132416b4884
1413cdbd2a4
15b0da0e66
hex70a49600

1889834496 has 160 divisors (see below), whose sum is σ = 5642638848. Its totient is φ = 557015040.

The previous prime is 1889834467. The next prime is 1889834501. The reversal of 1889834496 is 6944389881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623641 + ... + 626663.

Almost surely, 21889834496 is an apocalyptic number.

1889834496 is a gapful number since it is divisible by the number (16) 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 1889834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821319424).

1889834496 is an abundant number, since it is smaller than the sum of its proper divisors (3752804352).

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

1889834496 is a wasteful number, since it uses less digits than its factorization.

1889834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3076 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 1889834496 is about 43472.2267200566. The cubic root of 1889834496 is about 1236.3494995133.

The spelling of 1889834496 in words is "one billion, eight hundred eighty-nine million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1056 1184 1221 1408 1536 1628 1776 2112 2368 2442 2816 3023 3256 3552 4224 4736 4884 5632 6046 6512 7104 8448 9069 9472 9768 12092 13024 14208 16896 18138 18944 19536 24184 26048 28416 33253 36276 39072 48368 52096 56832 66506 72552 78144 96736 99759 104192 111851 133012 145104 156288 193472 199518 208384 223702 266024 290208 312576 335553 386944 399036 447404 532048 580416 625152 671106 773888 798072 894808 1064096 1160832 1230361 1342212 1547776 1596144 1789616 2128192 2321664 2460722 2684424 3192288 3579232 3691083 4256384 4643328 4921444 5368848 6384576 7158464 7382166 8512768 9842888 10737696 12769152 14316928 14764332 17025536 19685776 21475392 25538304 28633856 29528664 39371552 42950784 51076608 57267712 59057328 78743104 85901568 118114656 157486208 171803136 236229312 314972416 472458624 629944832 944917248 1889834496