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46234272 = 2537107643
BaseRepresentation
bin1011000001011…
…1101010100000
310012222221111110
42300113222200
543313444042
64330543320
71100661540
oct260275240
9105887443
1046234272
1124109547
1213597b40
13976a376
1461d7320
1540d409c
hex2c17aa0

46234272 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 13065984.

The previous prime is 46234261. The next prime is 46234297. The reversal of 46234272 is 27243264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71583 + ... + 72225.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 246234272 is an apocalyptic number.

46234272 is a gapful number since it is divisible by the number (42) 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 46234272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

46234272 is an abundant number, since it is smaller than the sum of its proper divisors (93982560).

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

46234272 is a wasteful number, since it uses less digits than its factorization.

46234272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 46234272 is about 6799.5788104852. The cubic root of 46234272 is about 358.9120239211.

The spelling of 46234272 in words is "forty-six million, two hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 643 672 749 856 1284 1286 1498 1712 1929 2247 2568 2572 2996 3424 3858 4494 4501 5136 5144 5992 7716 8988 9002 10272 10288 11984 13503 15432 17976 18004 20576 23968 27006 30864 35952 36008 54012 61728 68801 71904 72016 108024 137602 144032 206403 216048 275204 412806 432096 481607 550408 825612 963214 1100816 1444821 1651224 1926428 2201632 2889642 3302448 3852856 5779284 6604896 7705712 11558568 15411424 23117136 46234272