Search a number
-
+
401453624 = 2311131033407
BaseRepresentation
bin10111111011011…
…011001000111000
31000222101221211202
4113323123020320
51310233003444
6103500313332
712643204505
oct2773331070
91028357752
10401453624
11196679060
12b2542848
1365230130
143b4624ac
152539e34e
hex17edb238

401453624 has 64 divisors (see below), whose sum is σ = 893168640. Its totient is φ = 166757760.

The previous prime is 401453617. The next prime is 401453651. The reversal of 401453624 is 426354104.

It is a super-2 number, since 2×4014536242 = 322330024445466752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116129 + ... + 119535.

It is an arithmetic number, because the mean of its divisors is an integer number (13955760).

Almost surely, 2401453624 is an apocalyptic number.

401453624 is a gapful number since it is divisible by the number (44) 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 401453624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446584320).

401453624 is an abundant number, since it is smaller than the sum of its proper divisors (491715016).

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

401453624 is a wasteful number, since it uses less digits than its factorization.

401453624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 401453624 is about 20036.3076438749. The cubic root of 401453624 is about 737.6977535003.

The spelling of 401453624 in words is "four hundred one million, four hundred fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1339 2266 2678 3407 4532 5356 6814 9064 10712 13628 14729 27256 29458 37477 44291 58916 74954 88582 117832 149908 177164 299816 350921 354328 487201 701842 974402 1403684 1948804 2807368 3860131 3897608 4561973 7720262 9123946 15440524 18247892 30881048 36495784 50181703 100363406 200726812 401453624