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38990336 = 297112343
BaseRepresentation
bin1001010010111…
…1001000000000
32201100220200112
42110233020000
534440142321
63511410452
7652261310
oct224571000
981326615
1038990336
1120011020
1211083a28
138102108
14526d440
153652a5b
hex252f200

38990336 has 160 divisors (see below), whose sum is σ = 103707648. Its totient is φ = 14192640.

The previous prime is 38990309. The next prime is 38990353. The reversal of 38990336 is 63309983.

It is a junction number, because it is equal to n+sod(n) for n = 38990293 and 38990302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906731 + ... + 906773.

Almost surely, 238990336 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 38990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

38990336 is an abundant number, since it is smaller than the sum of its proper divisors (64717312).

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

38990336 is a wasteful number, since it uses less digits than its factorization.

38990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 38990336 is about 6244.2242112211. The cubic root of 38990336 is about 339.0931311606.

The spelling of 38990336 in words is "thirty-eight million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 43 44 46 56 64 77 86 88 92 112 128 154 161 172 176 184 224 253 256 301 308 322 344 352 368 448 473 506 512 602 616 644 688 704 736 896 946 989 1012 1204 1232 1288 1376 1408 1472 1771 1792 1892 1978 2024 2408 2464 2576 2752 2816 2944 3311 3542 3584 3784 3956 4048 4816 4928 5152 5504 5632 5888 6622 6923 7084 7568 7912 8096 9632 9856 10304 10879 11008 11776 13244 13846 14168 15136 15824 16192 19264 19712 20608 21758 22016 26488 27692 28336 30272 31648 32384 38528 39424 41216 43516 52976 55384 56672 60544 63296 64768 76153 77056 82432 87032 105952 110768 113344 121088 126592 129536 152306 154112 174064 211904 221536 226688 242176 253184 304612 348128 423808 443072 453376 506368 609224 696256 847616 886144 906752 1218448 1392512 1695232 1772288 2436896 2785024 3544576 4873792 5570048 9747584 19495168 38990336