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401923296 = 2534295347
BaseRepresentation
bin10111111101001…
…101110011100000
31001000021211010000
4113331031303200
51310343021141
6103514340000
712650202015
oct2775156340
91030254100
10401923296
11196969a15
12b272a600
1365365b48
143b54570c
15254435b6
hex17f4dce0

401923296 has 120 divisors (see below), whose sum is σ = 1223034120. Its totient is φ = 129330432.

The previous prime is 401923243. The next prime is 401923331. The reversal of 401923296 is 692329104.

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 401923296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72495 + ... + 77841.

It is an arithmetic number, because the mean of its divisors is an integer number (10191951).

Almost surely, 2401923296 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 401923296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611517060).

401923296 is an abundant number, since it is smaller than the sum of its proper divisors (821110824).

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

401923296 is a wasteful number, since it uses less digits than its factorization.

401923296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 401923296 is about 20048.0247406072. The cubic root of 401923296 is about 737.9853259030.

The spelling of 401923296 in words is "four hundred one million, nine hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 5347 6264 8352 9396 10694 12528 16041 18792 21388 25056 32082 37584 42776 48123 64164 75168 85552 96246 128328 144369 155063 171104 192492 256656 288738 310126 384984 433107 465189 513312 577476 620252 769968 866214 930378 1154952 1240504 1395567 1539936 1732428 1860756 2309904 2481008 2791134 3464856 3721512 4186701 4619808 4962016 5582268 6929712 7443024 8373402 11164536 12560103 13859424 14886048 16746804 22329072 25120206 33493608 44658144 50240412 66987216 100480824 133974432 200961648 401923296