Search a number
-
+
46240880 = 2457711163
BaseRepresentation
bin1011000001100…
…1010001110000
310020000021120012
42300121101300
543314202010
64331034052
71101020030
oct260312160
9106007505
1046240880
1124113504
121359b928
13977038a
1461d98c0
1540d6005
hex2c19470

46240880 has 80 divisors (see below), whose sum is σ = 124706304. Its totient is φ = 15617280.

The previous prime is 46240849. The next prime is 46240897. The reversal of 46240880 is 8804264.

It is a tau number, because it is divible by the number of its divisors (80).

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, 39179 + ... + 40341.

Almost surely, 246240880 is an apocalyptic number.

46240880 is a gapful number since it is divisible by the number (40) 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 46240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62353152).

46240880 is an abundant number, since it is smaller than the sum of its proper divisors (78465424).

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

46240880 is a wasteful number, since it uses less digits than its factorization.

46240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 46240880 is about 6800.0647055745. The cubic root of 46240880 is about 358.9291221873.

The spelling of 46240880 in words is "forty-six million, two hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1163 1420 1988 2326 2485 2840 3976 4652 4970 5680 5815 7952 8141 9304 9940 11630 16282 18608 19880 23260 32564 39760 40705 46520 65128 81410 82573 93040 130256 162820 165146 325640 330292 412865 578011 651280 660584 825730 1156022 1321168 1651460 2312044 2890055 3302920 4624088 5780110 6605840 9248176 11560220 23120440 46240880