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2050464 = 253133153
BaseRepresentation
bin111110100100110100000
310212011201010
413310212200
51011103324
6111540520
723300013
oct7644640
93764633
102050464
1111805a9
1282a740
1356a3c0
143b537a
152a7829
hex1f49a0

2050464 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 599040.

The previous prime is 2050459. The next prime is 2050481. The reversal of 2050464 is 4640502.

It is a happy number.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2050464.

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, 38662 + ... + 38714.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22050464 is an apocalyptic number.

2050464 is a gapful number since it is divisible by the number (24) 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 2050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2050464 is an abundant number, since it is smaller than the sum of its proper divisors (4045920).

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

2050464 is a wasteful number, since it uses less digits than its factorization.

2050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2050464 is about 1431.9441329884. The cubic root of 2050464 is about 127.0429928635.

Adding to 2050464 its reverse (4640502), we get a palindrome (6690966).

The spelling of 2050464 in words is "two million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 53 62 78 93 96 104 106 124 156 159 186 208 212 248 312 318 372 403 416 424 496 624 636 689 744 806 848 992 1209 1248 1272 1378 1488 1612 1643 1696 2067 2418 2544 2756 2976 3224 3286 4134 4836 4929 5088 5512 6448 6572 8268 9672 9858 11024 12896 13144 16536 19344 19716 21359 22048 26288 33072 38688 39432 42718 52576 64077 66144 78864 85436 128154 157728 170872 256308 341744 512616 683488 1025232 2050464