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421043952 = 243719101653
BaseRepresentation
bin11001000110001…
…001111011110000
31002100021020201110
4121012021323300
51330241401302
6105440233320
713301546250
oct3106117360
91070236643
10421043952
111a673960a
12b900b840
13692cbc44
143dcc1960
1526e6db6c
hex19189ef0

421043952 has 160 divisors (see below), whose sum is σ = 1323486720. Its totient is φ = 112665600.

The previous prime is 421043939. The next prime is 421043993. The reversal of 421043952 is 259340124.

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, 644458 + ... + 645110.

It is an arithmetic number, because the mean of its divisors is an integer number (8271792).

Almost surely, 2421043952 is an apocalyptic number.

421043952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421043952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661743360).

421043952 is an abundant number, since it is smaller than the sum of its proper divisors (902442768).

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

421043952 is a wasteful number, since it uses less digits than its factorization.

421043952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 421043952 is about 20519.3555454356. The cubic root of 421043952 is about 749.5072033840.

It can be divided in two parts, 42104 and 3952, that added together give a triangular number (46056 = T303).

The spelling of 421043952 in words is "four hundred twenty-one million, forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 101 112 114 133 152 168 202 228 266 303 304 336 399 404 456 532 606 653 707 798 808 912 1064 1212 1306 1414 1596 1616 1919 1959 2121 2128 2424 2612 2828 3192 3838 3918 4242 4571 4848 5224 5656 5757 6384 7676 7836 8484 9142 10448 11312 11514 12407 13433 13713 15352 15672 16968 18284 23028 24814 26866 27426 30704 31344 33936 36568 37221 40299 46056 49628 53732 54852 65953 73136 74442 80598 86849 92112 99256 107464 109704 131906 148884 161196 173698 197859 198512 214928 219408 260547 263812 297768 322392 347396 395718 461671 521094 527624 595536 644784 694792 791436 923342 1042188 1055248 1253107 1385013 1389584 1582872 1846684 2084376 2506214 2770026 3165744 3693368 3759321 4168752 5012428 5540052 7386736 7518642 8771749 10024856 11080104 15037284 17543498 20049712 22160208 26315247 30074568 35086996 52630494 60149136 70173992 105260988 140347984 210521976 421043952