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46097268 = 223717191699
BaseRepresentation
bin1010111111011…
…0001101110100
310012201222120020
42233312031310
543300103033
64324005140
71066551240
oct257661564
9105658506
1046097268
1124025618
12135307b0
13971cbb9
14619d420
1540a86b3
hex2bf6374

46097268 has 96 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 11736576.

The previous prime is 46097263. The next prime is 46097281. The reversal of 46097268 is 86279064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46097263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26283 + ... + 27981.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 246097268 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 46097268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

46097268 is an abundant number, since it is smaller than the sum of its proper divisors (90990732).

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

46097268 is a wasteful number, since it uses less digits than its factorization.

46097268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 46097268 is about 6789.4968885772. The cubic root of 46097268 is about 358.5571570584.

The spelling of 46097268 in words is "forty-six million, ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1292 1428 1596 1699 1938 2261 3398 3876 4522 5097 6783 6796 9044 10194 11893 13566 20388 23786 27132 28883 32281 35679 47572 57766 64562 71358 86649 96843 115532 129124 142716 173298 193686 202181 225967 346596 387372 404362 451934 548777 606543 677901 808724 903868 1097554 1213086 1355802 1646331 2195108 2426172 2711604 3292662 3841439 6585324 7682878 11524317 15365756 23048634 46097268