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424069632 = 2932713147
BaseRepresentation
bin11001010001101…
…100101000000000
31002112221222011200
4121101230220000
51332030212012
6110025141200
713336350420
oct3121545000
91075858150
10424069632
111a8415878
12ba02a800
1369b1b19c
144046c480
152736a3dc
hex1946ca00

424069632 has 120 divisors (see below), whose sum is σ = 1398842016. Its totient is φ = 121153536.

The previous prime is 424069619. The next prime is 424069651. The reversal of 424069632 is 236960424.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25683 + ... + 38829.

Almost surely, 2424069632 is an apocalyptic number.

424069632 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 424069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699421008).

424069632 is an abundant number, since it is smaller than the sum of its proper divisors (974772384).

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

424069632 is a wasteful number, since it uses less digits than its factorization.

424069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13178 (or 13159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 424069632 is about 20592.9510269898. The cubic root of 424069632 is about 751.2982740160.

The spelling of 424069632 in words is "four hundred twenty-four million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 13147 16128 26294 32256 39441 52588 78882 92029 105176 118323 157764 184058 210352 236646 276087 315528 368116 420704 473292 552174 631056 736232 828261 841408 946584 1104348 1262112 1472464 1656522 1682816 1893168 2208696 2524224 2944928 3313044 3365632 3786336 4417392 5048448 5889856 6626088 6731264 7572672 8834784 10096896 11779712 13252176 15145344 17669568 20193792 23559424 26504352 30290688 35339136 47118848 53008704 60581376 70678272 106017408 141356544 212034816 424069632