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401243216 = 241119971237
BaseRepresentation
bin10111111010100…
…111110001010000
31000222000021012212
4113322213301100
51310204240331
6103452011252
712641340203
oct2772476120
91028007185
10401243216
11196544a70
12b2460b28
136518842a
143b40993a
152535bd2b
hex17ea7c50

401243216 has 80 divisors (see below), whose sum is σ = 902650560. Its totient is φ = 170864640.

The previous prime is 401243209. The next prime is 401243221. The reversal of 401243216 is 612342104.

It is a super-2 number, since 2×4012432162 = 321992236772045312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401243191 and 401243200.

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, 323750 + ... + 324986.

It is an arithmetic number, because the mean of its divisors is an integer number (11283132).

Almost surely, 2401243216 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 401243216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451325280).

401243216 is an abundant number, since it is smaller than the sum of its proper divisors (501407344).

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

401243216 is a wasteful number, since it uses less digits than its factorization.

401243216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 401243216 is about 20031.0562876749. The cubic root of 401243216 is about 737.5688514098.

The spelling of 401243216 in words is "four hundred one million, two hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 152 176 194 209 304 388 418 776 836 1067 1237 1552 1672 1843 2134 2474 3344 3686 4268 4948 7372 8536 9896 13607 14744 17072 19792 20273 23503 27214 29488 40546 47006 54428 81092 94012 108856 119989 162184 188024 217712 239978 258533 324368 376048 479956 517066 959912 1034132 1319879 1919824 2068264 2279791 2639758 4136528 4559582 5279516 9119164 10559032 18238328 21118064 25077701 36476656 50155402 100310804 200621608 401243216