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401218992 = 2432233229
BaseRepresentation
bin10111111010100…
…001110110110000
31000221222000222200
4113322201312300
51310203001432
6103451303200
712641206446
oct2772416660
91027860880
10401218992
11196528849
12b244ab00
136517a3b5
143b400b96
1525354a7c
hex17ea1db0

401218992 has 120 divisors (see below), whose sum is σ = 1179016800. Its totient is φ = 127366272.

The previous prime is 401218967. The next prime is 401218999. The reversal of 401218992 is 299812104.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401218999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751934 + ... + 1752162.

It is an arithmetic number, because the mean of its divisors is an integer number (9825140).

Almost surely, 2401218992 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 401218992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589508400).

401218992 is an abundant number, since it is smaller than the sum of its proper divisors (777797808).

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

401218992 is a wasteful number, since it uses less digits than its factorization.

401218992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 401218992 is about 20030.4516174748. The cubic root of 401218992 is about 737.5540081869.

The spelling of 401218992 in words is "four hundred one million, two hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 229 276 368 414 458 529 552 687 828 916 1058 1104 1374 1587 1656 1832 2061 2116 2748 3174 3312 3664 4122 4232 4761 5267 5496 6348 8244 8464 9522 10534 10992 12167 12696 15801 16488 19044 21068 24334 25392 31602 32976 36501 38088 42136 47403 48668 63204 73002 76176 84272 94806 97336 109503 121141 126408 146004 189612 194672 219006 242282 252816 292008 363423 379224 438012 484564 584016 726846 758448 876024 969128 1090269 1453692 1752048 1938256 2180538 2786243 2907384 4361076 5572486 5814768 8358729 8722152 11144972 16717458 17444304 22289944 25076187 33434916 44579888 50152374 66869832 100304748 133739664 200609496 401218992