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400036428 = 223311834057
BaseRepresentation
bin10111110110000…
…001001001001100
31000212201221211000
4113312001021030
51304402131203
6103410100300
712625152651
oct2766011114
91025657730
10400036428
111958a0320
12b1b7a690
1364b5505c
143b1b3c28
15251be4a3
hex17d8124c

400036428 has 96 divisors (see below), whose sum is σ = 1145329920. Its totient is φ = 119733120.

The previous prime is 400036409. The next prime is 400036451. The reversal of 400036428 is 824630004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96576 + ... + 100632.

It is an arithmetic number, because the mean of its divisors is an integer number (11930520).

Almost surely, 2400036428 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 400036428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572664960).

400036428 is an abundant number, since it is smaller than the sum of its proper divisors (745293492).

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

400036428 is a wasteful number, since it uses less digits than its factorization.

400036428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400036428 is about 20000.9106792666. The cubic root of 400036428 is about 736.8286660324.

The spelling of 400036428 in words is "four hundred million, thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 83 99 108 132 166 198 249 297 332 396 498 594 747 913 996 1188 1494 1826 2241 2739 2988 3652 4057 4482 5478 8114 8217 8964 10956 12171 16228 16434 24342 24651 32868 36513 44627 48684 49302 73026 89254 98604 109539 133881 146052 178508 219078 267762 336731 401643 438156 535524 673462 803286 1010193 1204929 1346924 1606572 2020386 2409858 3030579 3704041 4040772 4819716 6061158 7408082 9091737 11112123 12122316 14816164 18183474 22224246 33336369 36366948 44448492 66672738 100009107 133345476 200018214 400036428