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2529930832 = 2411133153673
BaseRepresentation
bin1001011011001011…
…1010111001010000
320112022111210122221
42112302322321100
520140130241312
61055013110424
7116460025432
oct22662727120
96468453587
102529930832
111089097530
125a7328414
133141abac0
141a0002652
15ec18e207
hex96cbae50

2529930832 has 160 divisors (see below), whose sum is σ = 6065611776. Its totient is φ = 1006387200.

The previous prime is 2529930827. The next prime is 2529930841. The reversal of 2529930832 is 2380399252.

2529930832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3758848 + ... + 3759520.

Almost surely, 22529930832 is an apocalyptic number.

2529930832 is a gapful number since it is divisible by the number (22) 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 2529930832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032805888).

2529930832 is an abundant number, since it is smaller than the sum of its proper divisors (3535680944).

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

2529930832 is a wasteful number, since it uses less digits than its factorization.

2529930832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 2529930832 is about 50298.4177882366. The cubic root of 2529930832 is about 1362.6036541179.

The spelling of 2529930832 in words is "two billion, five hundred twenty-nine million, nine hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 53 62 88 104 106 124 143 176 208 212 248 286 341 403 424 496 572 583 673 682 689 806 848 1144 1166 1346 1364 1378 1612 1643 2288 2332 2692 2728 2756 3224 3286 4433 4664 5384 5456 5512 6448 6572 7403 7579 8749 8866 9328 10768 11024 13144 14806 15158 17498 17732 18073 20863 21359 26288 29612 30316 34996 35464 35669 36146 41726 42718 59224 60632 69992 70928 71338 72292 83452 85436 96239 118448 121264 139984 142676 144584 166904 170872 192478 229493 234949 271219 285352 289168 333808 341744 384956 392359 458986 463697 469898 542438 570704 769912 784718 917972 927394 939796 1084876 1105739 1539824 1569436 1835944 1854788 1879592 2169752 2211478 2983409 3138872 3671888 3709576 3759184 4339504 4422956 5100667 5966818 6277744 7419152 8845912 10201334 11933636 12163129 14374607 17691824 20402668 23867272 24326258 28749214 40805336 47734544 48652516 57498428 81610672 97305032 114996856 158120677 194610064 229993712 316241354 632482708 1264965416 2529930832