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400827096 = 233329611049
BaseRepresentation
bin10111111001000…
…010001011011000
31000221020010102000
4113321002023120
51310102431341
6103435041000
712634655055
oct2771021330
91027203360
10400827096
1119629036a
12b22a0160
1365070bc7
143b33c02c
15252c88b6
hex17e422d8

400827096 has 128 divisors (see below), whose sum is σ = 1171800000. Its totient is φ = 126766080.

The previous prime is 400827079. The next prime is 400827101. The reversal of 400827096 is 690728004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400827096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381580 + ... + 382628.

Almost surely, 2400827096 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 400827096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900000).

400827096 is an abundant number, since it is smaller than the sum of its proper divisors (770972904).

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

400827096 is a wasteful number, since it uses less digits than its factorization.

400827096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 400827096 is about 20020.6667221649. Note that the first 3 decimals coincide. The cubic root of 400827096 is about 737.3137913878.

The spelling of 400827096 in words is "four hundred million, eight hundred twenty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 61 72 87 108 116 122 174 183 216 232 244 261 348 366 488 522 549 696 732 783 1044 1049 1098 1464 1566 1647 1769 2088 2098 2196 3132 3147 3294 3538 4196 4392 5307 6264 6294 6588 7076 8392 9441 10614 12588 13176 14152 15921 18882 21228 25176 28323 30421 31842 37764 42456 47763 56646 60842 63684 63989 75528 91263 95526 113292 121684 127368 127978 182526 191052 191967 226584 243368 255956 273789 365052 382104 383934 511912 547578 575901 730104 767868 821367 1095156 1151802 1535736 1642734 1727703 1855681 2190312 2303604 3285468 3455406 3711362 4607208 5567043 6570936 6910812 7422724 11134086 13821624 14845448 16701129 22268172 33402258 44536344 50103387 66804516 100206774 133609032 200413548 400827096