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401332488 = 233372831597
BaseRepresentation
bin10111111010111…
…101100100001000
31000222011210200020
4113322331210020
51310220114423
6103453540440
712642161364
oct2772754410
91028153606
10401332488
111965a6047
12b24a4720
13651b9c5b
143b4302a4
15253784e3
hex17ebd908

401332488 has 64 divisors (see below), whose sum is σ = 1034736960. Its totient is φ = 129620736.

The previous prime is 401332469. The next prime is 401332501. The reversal of 401332488 is 884233104.

It is a super-2 number, since 2×4013324882 = 322135531848540288, which contains 22 as substring.

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, 250506 + ... + 252102.

It is an arithmetic number, because the mean of its divisors is an integer number (16167765).

Almost surely, 2401332488 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 401332488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517368480).

401332488 is an abundant number, since it is smaller than the sum of its proper divisors (633404472).

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

401332488 is a wasteful number, since it uses less digits than its factorization.

401332488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 401332488 is about 20033.2845035456. The cubic root of 401332488 is about 737.6235475486.

It can be divided in two parts, 40 and 1332488, that added together give a triangular number (1332528 = T1632).

The spelling of 401332488 in words is "four hundred one million, three hundred thirty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 283 296 444 566 849 888 1132 1597 1698 2264 3194 3396 4791 6388 6792 9582 10471 12776 19164 20942 31413 38328 41884 59089 62826 83768 118178 125652 177267 236356 251304 354534 451951 472712 709068 903902 1355853 1418136 1807804 2711706 3615608 5423412 10846824 16722187 33444374 50166561 66888748 100333122 133777496 200666244 401332488