Search a number
-
+
50138496 = 273271613
BaseRepresentation
bin1011111101000…
…0110110000000
310111100022002100
42333100312000
5100313412441
64550350400
71146112242
oct277206600
9114308070
1050138496
1126335881
121495b400
13a506465
146932092
154605cb6
hex2fd0d80

50138496 has 96 divisors (see below), whose sum is σ = 146549520. Its totient is φ = 16450560.

The previous prime is 50138479. The next prime is 50138497. The reversal of 50138496 is 69483105.

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

It is a super-2 number, since 2×501384962 = 5027737562284032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50138496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50138497) 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, 81486 + ... + 82098.

Almost surely, 250138496 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 50138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274760).

50138496 is an abundant number, since it is smaller than the sum of its proper divisors (96411024).

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

50138496 is a wasteful number, since it uses less digits than its factorization.

50138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 50138496 is about 7080.8541857604. The cubic root of 50138496 is about 368.7429853688.

The spelling of 50138496 in words is "fifty million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 613 639 852 1136 1152 1226 1278 1704 1839 2272 2452 2556 3408 3678 4544 4904 5112 5517 6816 7356 9088 9808 10224 11034 13632 14712 19616 20448 22068 27264 29424 39232 40896 43523 44136 58848 78464 81792 87046 88272 117696 130569 174092 176544 235392 261138 348184 353088 391707 522276 696368 706176 783414 1044552 1392736 1566828 2089104 2785472 3133656 4178208 5570944 6267312 8356416 12534624 16712832 25069248 50138496