Search a number
-
+
400733028 = 2233191791091
BaseRepresentation
bin10111111000101…
…011001101100100
31000221001100101000
4113320223031210
51310041424103
6103433033300
712634113603
oct2770531544
91027040330
10400733028
11196226723
12b2255830
136503a147
143b315a3a
15252aaaa3
hex17e2b364

400733028 has 96 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 125724960.

The previous prime is 400732999. The next prime is 400733029. The reversal of 400733028 is 820337004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400732992 and 400733010.

It is not an unprimeable number, because it can be changed into a prime (400733029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366763 + ... + 367853.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2400733028 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 400733028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

400733028 is an abundant number, since it is smaller than the sum of its proper divisors (700002972).

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

400733028 is a wasteful number, since it uses less digits than its factorization.

400733028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400733028 is about 20018.3173119021. The cubic root of 400733028 is about 737.2561081117.

The spelling of 400733028 in words is "four hundred million, seven hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 179 228 342 358 513 537 684 716 1026 1074 1091 1611 2052 2148 2182 3222 3273 3401 4364 4833 6444 6546 6802 9666 9819 10203 13092 13604 19332 19638 20406 20729 29457 30609 39276 40812 41458 58914 61218 62187 82916 91827 117828 122436 124374 183654 186561 195289 248748 367308 373122 390578 559683 585867 746244 781156 1119366 1171734 1757601 2238732 2343468 3515202 3710491 5272803 7030404 7420982 10545606 11131473 14841964 21091212 22262946 33394419 44525892 66788838 100183257 133577676 200366514 400733028