Search a number
-
+
1901472 = 25329683
BaseRepresentation
bin111010000001110100000
310120121022220
413100032200
5441321342
6104431040
722106436
oct7201640
93517286
101901472
111089671
12778480
13517641
14376d56
152785ec
hex1d03a0

1901472 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 611072.

The previous prime is 1901461. The next prime is 1901489. The reversal of 1901472 is 2741091.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

21901472 is an apocalyptic number.

1901472 is a gapful number since it is divisible by the number (12) 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 1901472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

1901472 is an abundant number, since it is smaller than the sum of its proper divisors (3269568).

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

1901472 is a wasteful number, since it uses less digits than its factorization.

1901472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1901472 is about 1378.9387223514. The cubic root of 1901472 is about 123.8882100354. Note that the first 3 decimals are identical.

The spelling of 1901472 in words is "one million, nine hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 683 696 928 1366 1392 2049 2732 2784 4098 5464 8196 10928 16392 19807 21856 32784 39614 59421 65568 79228 118842 158456 237684 316912 475368 633824 950736 1901472