Search a number
-
+
46972368 = 24321372381
BaseRepresentation
bin1011001100101…
…1110111010000
310021101102222100
42303023313100
544011103433
64354440400
71110154452
oct263136720
9107342870
1046972368
1124573043
1213893100
139968301
14634a2d2
1541ccb13
hex2ccbdd0

46972368 has 60 divisors (see below), whose sum is σ = 132472548. Its totient is φ = 15536640.

The previous prime is 46972337. The next prime is 46972369. The reversal of 46972368 is 86327964.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 38044224 = 2988^2 + 6168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46972369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18538 + ... + 20918.

Almost surely, 246972368 is an apocalyptic number.

46972368 is a gapful number since it is divisible by the number (48) 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 46972368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66236274).

46972368 is an abundant number, since it is smaller than the sum of its proper divisors (85500180).

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

46972368 is a wasteful number, since it uses less digits than its factorization.

46972368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2523 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 46972368 is about 6853.6390333895. The cubic root of 46972368 is about 360.8118713963.

The spelling of 46972368 in words is "forty-six million, nine hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2381 2466 3288 4762 4932 6576 7143 9524 9864 14286 19048 19728 21429 28572 38096 42858 57144 85716 114288 171432 326197 342864 652394 978591 1304788 1957182 2609576 2935773 3914364 5219152 5871546 7828728 11743092 15657456 23486184 46972368