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890412432 = 243713238863
BaseRepresentation
bin110101000100101…
…001110110010000
32022001110122020020
4311010221312100
53310421144212
6224204343440
731031244420
oct6504516620
92261418206
10890412432
11417684048
1220a244b80
1311261a780
1486382480
1553285d8c
hex35129d90

890412432 has 160 divisors (see below), whose sum is σ = 2954477568. Its totient is φ = 224598528.

The previous prime is 890412427. The next prime is 890412461. The reversal of 890412432 is 234214098.

It is a junction number, because it is equal to n+sod(n) for n = 890412393 and 890412402.

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 31 ways as a sum of consecutive naturals, for example, 96033 + ... + 104895.

Almost surely, 2890412432 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 890412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477238784).

890412432 is an abundant number, since it is smaller than the sum of its proper divisors (2064065136).

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

890412432 is a wasteful number, since it uses less digits than its factorization.

890412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 890412432 is about 29839.7793557526. The cubic root of 890412432 is about 962.0487323368.

The spelling of 890412432 in words is "eight hundred ninety million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 6279 7176 7728 8372 8863 12558 14352 16744 17726 25116 26589 33488 35452 50232 53178 62041 70904 100464 106356 115219 124082 141808 186123 203849 212712 230438 248164 345657 372246 407698 425424 460876 496328 611547 691314 744492 806533 815396 921752 992656 1223094 1382628 1426943 1488984 1613066 1630792 1843504 2419599 2446188 2650037 2765256 2853886 2977968 3226132 3261584 4280829 4839198 4892376 5300074 5530512 5707772 6452264 7950111 8561658 9678396 9784752 10600148 11415544 12904528 15900222 17123316 18550259 19356792 21200296 22831088 31800444 34246632 37100518 38713584 42400592 55650777 63600888 68493264 74201036 111301554 127201776 148402072 222603108 296804144 445206216 890412432