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401136352 = 25172947541
BaseRepresentation
bin10111111010001…
…101101011100000
31000221210211121221
4113322031223200
51310142330402
6103445424424
712640413511
oct2772155340
91027724557
10401136352
11196481751
12b240b114
136514b8b6
143b3bca08
152533a337
hex17e8dae0

401136352 has 96 divisors (see below), whose sum is σ = 885064320. Its totient is φ = 178053120.

The previous prime is 401136319. The next prime is 401136367. The reversal of 401136352 is 253631104.

It is a super-3 number, since 3×4011363523 (a number of 27 digits) contains 333 as substring.

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, 741202 + ... + 741742.

It is an arithmetic number, because the mean of its divisors is an integer number (9219420).

Almost surely, 2401136352 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 401136352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442532160).

401136352 is an abundant number, since it is smaller than the sum of its proper divisors (483927968).

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

401136352 is a wasteful number, since it uses less digits than its factorization.

401136352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 401136352 is about 20028.3886521108. The cubic root of 401136352 is about 737.5033661438.

Adding to 401136352 its reverse (253631104), we get a palindrome (654767456).

The spelling of 401136352 in words is "four hundred one million, one hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 47 58 68 94 116 136 188 232 272 376 464 493 541 544 752 799 928 986 1082 1363 1504 1598 1972 2164 2726 3196 3944 4328 5452 6392 7888 8656 9197 10904 12784 15689 15776 17312 18394 21808 23171 25427 25568 31378 36788 43616 46342 50854 62756 73576 92684 101708 125512 147152 185368 203416 251024 266713 294304 370736 406832 432259 502048 533426 737383 741472 813664 864518 1066852 1474766 1729036 2133704 2949532 3458072 4267408 5899064 6916144 8534816 11798128 12535511 13832288 23596256 25071022 50142044 100284088 200568176 401136352