Search a number
-
+
426371440 = 24511661733
BaseRepresentation
bin11001011010011…
…110100101110000
31002201021220122211
4121122132211300
51333122341230
6110150341504
713365045265
oct3132364560
91081256584
10426371440
111a97481a0
12ba95a894
136a445ac1
14408ab26c
152767242a
hex1969e970

426371440 has 80 divisors (see below), whose sum is σ = 1084546656. Its totient is φ = 154598400.

The previous prime is 426371431. The next prime is 426371483. The reversal of 426371440 is 44173624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 581314 + ... + 582046.

Almost surely, 2426371440 is an apocalyptic number.

426371440 is a gapful number since it is divisible by the number (40) 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 426371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542273328).

426371440 is an abundant number, since it is smaller than the sum of its proper divisors (658175216).

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

426371440 is a wasteful number, since it uses less digits than its factorization.

426371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 426371440 is about 20648.7636433758. The cubic root of 426371440 is about 752.6551462095.

The spelling of 426371440 in words is "four hundred twenty-six million, three hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 661 733 880 1322 1466 2644 2932 3305 3665 5288 5864 6610 7271 7330 8063 10576 11728 13220 14542 14660 16126 26440 29084 29320 32252 36355 40315 52880 58168 58640 64504 72710 80630 116336 129008 145420 161260 290840 322520 484513 581680 645040 969026 1938052 2422565 3876104 4845130 5329643 7752208 9690260 10659286 19380520 21318572 26648215 38761040 42637144 53296430 85274288 106592860 213185720 426371440