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401546496 = 28313371087
BaseRepresentation
bin10111111011110…
…001110100000000
31000222120200020110
4113323301310000
51310243441441
6103502311320
712644042331
oct2773616400
91028520213
10401546496
1119673190a
12b2588540
13652634a0
143b488288
15253bbb16
hex17ef1d00

401546496 has 144 divisors (see below), whose sum is σ = 1183099904. Its totient is φ = 120102912.

The previous prime is 401546491. The next prime is 401546527. The reversal of 401546496 is 694645104.

It is a super-2 number, since 2×4015464962 = 322479176899756032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401546491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368865 + ... + 369951.

Almost surely, 2401546496 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 401546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591549952).

401546496 is an abundant number, since it is smaller than the sum of its proper divisors (781553408).

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

401546496 is a wasteful number, since it uses less digits than its factorization.

401546496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 401546496 is about 20038.6251025364. The cubic root of 401546496 is about 737.7546352746.

The spelling of 401546496 in words is "four hundred one million, five hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1087 1184 1248 1443 1664 1776 1924 2174 2368 2496 2886 3261 3328 3552 3848 4348 4736 4992 5772 6522 7104 7696 8696 9472 9984 11544 13044 14131 14208 15392 17392 23088 26088 28262 28416 30784 34784 40219 42393 46176 52176 56524 61568 69568 80438 84786 92352 104352 113048 120657 123136 139136 160876 169572 184704 208704 226096 241314 278272 321752 339144 369408 417408 452192 482628 522847 643504 678288 834816 904384 965256 1045694 1287008 1356576 1568541 1808768 1930512 2091388 2574016 2713152 3137082 3617536 3861024 4182776 5148032 5426304 6274164 7722048 8365552 10296064 10852608 12548328 15444096 16731104 25096656 30888192 33462208 50193312 66924416 100386624 133848832 200773248 401546496