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91358442 = 2347217677
BaseRepresentation
bin1010111001000…
…00010011101010
320100220111020000
411130200103222
5141341432232
613022043430
72156351100
oct534402352
9210814200
1091358442
1147629a4a
1226719576
1315c09366
14c1c1c70
15804927c
hex57204ea

91358442 has 120 divisors (see below), whose sum is σ = 252512964. Its totient is φ = 24530688.

The previous prime is 91358431. The next prime is 91358489. The reversal of 91358442 is 24485319.

It can be written as a sum of positive squares in 2 ways, for example, as 70207641 + 21150801 = 8379^2 + 4599^2 .

It is a junction number, because it is equal to n+sod(n) for n = 91358397 and 91358406.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134608 + ... + 135284.

Almost surely, 291358442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91358442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126256482).

91358442 is an abundant number, since it is smaller than the sum of its proper divisors (161154522).

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

91358442 is a wasteful number, since it uses less digits than its factorization.

91358442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 706 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 91358442 is about 9558.1610155929. The cubic root of 91358442 is about 450.3839389976.

The spelling of 91358442 in words is "ninety-one million, three hundred fifty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 81 98 102 119 126 147 153 162 189 238 294 306 357 378 441 459 567 677 714 833 882 918 1071 1134 1323 1354 1377 1666 2031 2142 2499 2646 2754 3213 3969 4062 4739 4998 6093 6426 7497 7938 9478 9639 11509 12186 14217 14994 18279 19278 22491 23018 28434 33173 34527 36558 42651 44982 54837 66346 67473 69054 80563 85302 99519 103581 109674 127953 134946 161126 199038 207162 241689 255906 298557 310743 383859 483378 563941 597114 621486 725067 767718 895671 932229 1127882 1450134 1691823 1791342 1864458 2175201 2687013 3383646 4350402 5075469 5374026 6525603 10150938 13051206 15226407 30452814 45679221 91358442